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Journal articles on the topic 'Poisson-Distributed observations'

Author: Grafiati

Published: 5 October 2024

Last updated: 31 July 2025

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1

Ades, M., P. E. Caines, and R. P. Malhame. "Stochastic optimal control under Poisson-distributed observations." IEEE Transactions on Automatic Control 45, no. 1 (2000): 3–13. http://dx.doi.org/10.1109/9.827351.

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Hakulinen, Timo, and Tadeusz Dyba. "Precision of incidence predictions based on poisson distributed observations." Statistics in Medicine 13, no. 15 (1994): 1513–23. http://dx.doi.org/10.1002/sim.4780131503.

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Sukmawati, Ni Wayan Liana, I. Putu Satria Adi Wiryawan, Made Sri Kumala Dewi Oka, Luh Gde Trishia Damayanti, Ni Luh Made Anggun Putri Maharani, and Mutiara Khairunisa. "Non Poisson Queue Data Analysis at KFC Jimbaran Regular Service." International Journal of Multidisciplinary Research and Growth Evaluation 5, no. 5 (2024): 704–9. http://dx.doi.org/10.54660/.ijmrge.2024.5.5.704-709.

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In providing services, it is not uncommon to be faced with a high level of customer arrival so that they have to wait their turn to get service. This waiting line is called a queue, one of which is non- poisson queue. An activity includes a non-poisson queue when the distribution of arrivals or services is non-poisson or exponentially distributed. This research focused on examining the cashier service queue at Kentucky Fried Chicken Fast Food Restaurant in Jimbaran, Bali. Data collection by direct observation was carried out for 4 hours 2 minutes. Service facilities in the system under study a

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Kirmani, S. N. U. A., and Jacek Wesołowski. "Time spent below a random threshold by a Poisson driven sequence of observations." Journal of Applied Probability 40, no. 3 (2003): 807–14. http://dx.doi.org/10.1239/jap/1059060907.

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The mean and the variance of the time S(t) spent by a system below a random threshold until t are obtained when the system level is modelled by the current value of a sequence of independent and identically distributed random variables appearing at the epochs of a nonhomogeneous Poisson process. In the case of the homogeneous Poisson process, the asymptotic distribution of S(t)/t as t → ∞ is derived.

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Kirmani, S. N. U. A., and Jacek Wesołowski. "Time spent below a random threshold by a Poisson driven sequence of observations." Journal of Applied Probability 40, no. 03 (2003): 807–14. http://dx.doi.org/10.1017/s0021900200019756.

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The mean and the variance of the time S(t) spent by a system below a random threshold until t are obtained when the system level is modelled by the current value of a sequence of independent and identically distributed random variables appearing at the epochs of a nonhomogeneous Poisson process. In the case of the homogeneous Poisson process, the asymptotic distribution of S(t)/t as t → ∞ is derived.

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Taylor, Greg. "EXISTENCE AND UNIQUENESS OF CHAIN LADDER SOLUTIONS." ASTIN Bulletin 47, no. 1 (2016): 1–41. http://dx.doi.org/10.1017/asb.2016.23.

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AbstractThe cross-classified chain ladder has a number of versions, depending on the distribution to which observations are subject. The simplest case is that of Poisson distributed observations, and then maximum likelihood estimates of parameters are explicit. Most other cases, however, including Bayesian chain ladder models, lead to implicit MAP (Bayesian) or MLE (non-Bayesian) solutions for these parameter estimates, raising questions as to their existence and uniqueness. The present paper investigates these questions in the case where observations are distributed according to some member o

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Li, Li. "The GLR Chart for Poisson Process with Individual Observations." Advanced Materials Research 542-543 (June 2012): 42–46. http://dx.doi.org/10.4028/www.scientific.net/amr.542-543.42.

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A GLR (generalized likelihood ratio) chart for Poisson distributed process with individual observations is proposed and the design procedure of the GLR chart is discussed. The performance of the GLR charts is compared to the exponentially weighted moving average (EWMA) chart and the GWMA chart. The numerical experiments show that the GLR chart has comparable performance as the other two charts. However, the GLR chart is much easier to design and implement since there are more design parameters in these two charts.

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Collings, Bruce J., and Barry H. Margolin. "Testing Goodness of Fit for the Poisson Assumption When Observations are Not Identically Distributed." Journal of the American Statistical Association 80, no. 390 (1985): 411–18. http://dx.doi.org/10.1080/01621459.1985.10478132.

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Bülow, Tanja, Ralf-Dieter Hilgers, and Nicole Heussen. "Confidence interval comparison: Precision of maximum likelihood estimates in LLOQ affected data." PLOS ONE 18, no. 11 (2023): e0293640. http://dx.doi.org/10.1371/journal.pone.0293640.

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When data is derived under a single or multiple lower limits of quantification (LLOQ), estimation of distribution parameters as well as precision of these estimates appear to be challenging, as the way to account for unquantifiable observations due to LLOQs needs particular attention. The aim of this investigation is to characterize the precision of censored sample maximum likelihood estimates of the mean for normal, exponential and Poisson distribution affected by one or two LLOQs using confidence intervals (CI). In a simulation study, asymptotic and bias-corrected accelerated bootstrap CIs f

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Lauderdale, Benjamin E. "Compound Poisson—Gamma Regression Models for Dollar Outcomes That Are Sometimes Zero." Political Analysis 20, no. 3 (2012): 387–99. http://dx.doi.org/10.1093/pan/mps018.

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Political scientists often study dollar-denominated outcomes that are zero for some observations. These zeros can arise because the data-generating process is granular: The observed outcome results from aggregation of a small number of discrete projects or grants, each of varying dollar size. This article describes the use of a compound distribution in which each observed outcome is the sum of a Poisson—distributed number of gamma distributed quantities, a special case of the Tweedie distribution. Regression models based on this distribution estimate loglinear marginal effects without either t

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Gnedin, Alexander V. "Optimal Stopping with Rank-Dependent Loss." Journal of Applied Probability 44, no. 04 (2007): 996–1011. http://dx.doi.org/10.1017/s0021900200003697.

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For τ, a stopping rule adapted to a sequence ofnindependent and identically distributed observations, we define the loss to be E[q(Rτ)], whereRjis the rank of thejth observation andqis a nondecreasing function of the rank. This setting covers both the best-choice problem, withq(r) =1(r&gt; 1), and Robbins' problem, withq(r) =r. Asntends to ∞, the stopping problem acquires a limiting form which is associated with the planar Poisson process. Inspecting the limit we establish bounds on the stopping value and reveal qualitative features of the optimal rule. In particular, we show that the comp

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Olanrewaju, Rasaki Olawale. "Integer-valued Time Series Model via Generalized Linear Models Technique of Estimation." International Annals of Science 4, no. 1 (2018): 35–43. http://dx.doi.org/10.21467/ias.4.1.35-43.

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The paper authenticated the need for separate positive integer time series model(s). This was done from the standpoint of a proposal for both mixtures of continuous and discrete time series models. Positive integer time series data are time series data subjected to a number of events per constant interval of time that relatedly fits into the analogy of conditional mean and variance which depends on immediate past observations. This includes dependency among observations that can be best described by Generalized Autoregressive Conditional Heteroscedasticity (GARCH) model with Poisson distribute

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Bruss, F. Thomas, and Yvik C. Swan. "A Continuous-Time Approach to Robbins' Problem of Minimizing the Expected Rank." Journal of Applied Probability 46, no. 1 (2009): 1–18. http://dx.doi.org/10.1239/jap/1238592113.

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Let X1, X2, …, Xn be independent random variables uniformly distributed on [0,1]. We observe these sequentially and have to stop on exactly one of them. No recall of preceding observations is permitted. What stopping rule minimizes the expected rank of the selected observation? What is the value of the expected rank (as a function of n) and what is the limit of this value when n goes to ∞? This full-information expected selected-rank problem is known as Robbins' problem of minimizing the expected rank, and its general solution is unknown. In this paper we provide an alternative approach to Rob

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Bruss, F. Thomas, and Yvik C. Swan. "A Continuous-Time Approach to Robbins' Problem of Minimizing the Expected Rank." Journal of Applied Probability 46, no. 01 (2009): 1–18. http://dx.doi.org/10.1017/s0021900200005192.

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Let X 1, X 2, …, X n be independent random variables uniformly distributed on [0,1]. We observe these sequentially and have to stop on exactly one of them. No recall of preceding observations is permitted. What stopping rule minimizes the expected rank of the selected observation? What is the value of the expected rank (as a function of n) and what is the limit of this value when n goes to ∞? This full-information expected selected-rank problem is known as Robbins' problem of minimizing the expected rank, and its general solution is unknown. In this paper we provide an alternative approach to

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Gnedin, Alexander V. "Optimal Stopping with Rank-Dependent Loss." Journal of Applied Probability 44, no. 4 (2007): 996–1011. http://dx.doi.org/10.1239/jap/1197908820.

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For τ, a stopping rule adapted to a sequence of n independent and identically distributed observations, we define the loss to be E[q(Rτ)], where Rj is the rank of the jth observation and q is a nondecreasing function of the rank. This setting covers both the best-choice problem, with q(r) = 1(r > 1), and Robbins' problem, with q(r) = r. As n tends to ∞, the stopping problem acquires a limiting form which is associated with the planar Poisson process. Inspecting the limit we establish bounds on the stopping value and reveal qualitative features of the optimal rule. In particular, we show tha

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Mielenz, Norbert, Joachim Spilke, and Eberhard von Borell. "Analysis of correlated count data using generalised linear mixed models exemplified by field data on aggressive behaviour of boars." Archives Animal Breeding 57, no. 1 (2015): 1–19. http://dx.doi.org/10.5194/aab-57-26-2015.

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Population-averaged and subject-specific models are available to evaluate count data when repeated observations per subject are present. The latter are also known in the literature as generalised linear mixed models (GLMM). In GLMM repeated measures are taken into account explicitly through random animal effects in the linear predictor. In this paper the relevant GLMMs are presented based on conditional Poisson or negative binomial distribution of the response variable for given random animal effects. Equations for the repeatability of count data are derived assuming normal distribution and lo

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Mielenz, Norbert, Joachim Spilke, and Eberhard von Borell. "Analysis of correlated count data using generalised linear mixed models exemplified by field data on aggressive behaviour of boars." Archives Animal Breeding 57, no. 1 (2015): 1–19. http://dx.doi.org/10.7482/0003-9438-57-026.

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Abstract. Population-averaged and subject-specific models are available to evaluate count data when repeated observations per subject are present. The latter are also known in the literature as generalised linear mixed models (GLMM). In GLMM repeated measures are taken into account explicitly through random animal effects in the linear predictor. In this paper the relevant GLMMs are presented based on conditional Poisson or negative binomial distribution of the response variable for given random animal effects. Equations for the repeatability of count data are derived assuming normal distribut

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Cruces, M., L. G. Spitler, P. Scholz, et al. "Repeating behaviour of FRB 121102: periodicity, waiting times, and energy distribution." Monthly Notices of the Royal Astronomical Society 500, no. 1 (2020): 448–63. http://dx.doi.org/10.1093/mnras/staa3223.

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ABSTRACT Detections from the repeating fast radio burst FRB 121102 are clustered in time, noticeable even in the earliest repeat bursts. Recently, it was argued that the source activity is periodic, suggesting that the clustering reflected a not-yet-identified periodicity. We performed an extensive multiwavelength campaign with the Effelsberg telescope, the Green Bank telescope, and the Arecibo Observatory to shadow the Gran Telescope Canaria (optical), NuSTAR (X-ray) and INTEGRAL (γ-ray). We detected 36 bursts with Effelsberg, one with a pulse width of 39 ms, the widest burst ever detected fr

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Astuti, Cindy Cahyaning, and Angga Dwi Mulyanto. "Estimation Parameters And Modelling Zero Inflated Negative Binomial." CAUCHY 4, no. 3 (2016): 115. http://dx.doi.org/10.18860/ca.v4i3.3656.

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Regression analysis is used to determine relationship between one or several response variable (Y) with one or several predictor variables (X). Regression model between predictor variables and the Poisson distributed response variable is called Poisson Regression Model. Since, Poisson Regression requires an equality between mean and variance, it is not appropriate to apply this model on overdispersion (variance is higher than mean). Poisson regression model is commonly used to analyze the count data. On the count data type, it is often to encounteredd some observations that have zero value wit

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Cament, Leonardo, Martin Adams, and Pablo Barrios. "Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter." Sensors 21, no. 11 (2021): 3684. http://dx.doi.org/10.3390/s21113684.

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This paper presents a Bayesian filter based solution to the Space Object (SO) tracking problem using simulated optical telescopic observations. The presented solution utilizes the Probabilistic Admissible Region (PAR) approach, which is an orbital admissible region that adheres to the assumption of independence between newborn targets and surviving SOs. These SOs obey physical energy constraints in terms of orbital semi-major axis length and eccentricity within a range of orbits of interest. In this article, Low Earth Orbit (LEO) SOs are considered. The solution also adopts the Partially Unifo

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Jones, G. H., and J. E. Vincent. "Meiosis in allopolyploid Crepis capillaris. II. Autotetraploids." Genome 37, no. 3 (1994): 497–505. http://dx.doi.org/10.1139/g94-069.

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Meiotic chromosome pairing of autotetraploid Crepis capillaris was analysed by electron microscopy of surface-spread prophase I nuclei and compared with light microscopic observations of metaphase I chromosome configurations. Prophase I quadrivalent frequencies are high in all three tetrasomes. (A, D, and C) and partially dependent on chromosome size. At metaphase I quadrivalent frequencies are much lower and strongly dependent on chromosome size. There is no evidence for multivalent elimination during prophase I in this system, and the reduction in multivalent frequency at metaphase I can be

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Wang, L., C. Onof, and C. Maksimovic. "Reconstruction of sub-daily rainfall sequences using multinomial multiplicative cascades." Hydrology and Earth System Sciences Discussions 7, no. 4 (2010): 5267–97. http://dx.doi.org/10.5194/hessd-7-5267-2010.

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Abstract. This work aims to develop a semi-deterministic multiplicative cascade method for producing reliable short-term (sub-daily) rainfall sequences. The scaling feature of sub-daily rainfall sequences is analysed over the timescales of interest (i.e., 5 min to hourly in this research) to help derive the crucial parameters, i.e., the fragmentation ratios, for the proposed method. These derived ratios are then further used to stochastically disaggregate hourly rainfall sequences to 5-min using the multiplicative cascade process. The log-Poisson distributed cascade method is involved in this

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Uijlenhoet, R., J. M. Porrà, D. Sempere Torres, and J. D. Creutin. "Edge effect causes apparent fractal correlation dimension of uniform spatial raindrop distribution." Nonlinear Processes in Geophysics 16, no. 2 (2009): 287–97. http://dx.doi.org/10.5194/npg-16-287-2009.

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Abstract. Lovejoy and Schertzer (1990a) presented a statistical analysis of blotting paper observations of the (two-dimensional) spatial distribution of raindrop stains. They found empirical evidence for the fractal scaling behavior of raindrops in space, with potentially far-reaching implications for rainfall microphysics and radar meteorology. In particular, the fractal correlation dimensions determined from their blotting paper observations led them to conclude that "drops are (hierarchically) clustered" and that "inhomogeneity in rain is likely to extend down to millimeter scales". Confirm

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Jaenada, María, and Leandro Pardo. "Robust Statistical Inference in Generalized Linear Models Based on Minimum Renyi’s Pseudodistance Estimators." Entropy 24, no. 1 (2022): 123. http://dx.doi.org/10.3390/e24010123.

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Minimum Renyi’s pseudodistance estimators (MRPEs) enjoy good robustness properties without a significant loss of efficiency in general statistical models, and, in particular, for linear regression models (LRMs). In this line, Castilla et al. considered robust Wald-type test statistics in LRMs based on these MRPEs. In this paper, we extend the theory of MRPEs to Generalized Linear Models (GLMs) using independent and nonidentically distributed observations (INIDO). We derive asymptotic properties of the proposed estimators and analyze their influence function to asses their robustness properties

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Predić, Bratislav, Nevena Radosavljević, and Aleksandar Stojčić. "TIME SERIES ANALYSIS: FORECASTING SALES PERIODS IN WHOLESALE SYSTEMS." Facta Universitatis, Series: Automatic Control and Robotics 18, no. 3 (2020): 177. http://dx.doi.org/10.22190/fuacr1903177p.

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The main goal of time series analysis is explaining the correlation and the main features of the data in chronological order by using appropriate statistical models. It is being used in various aspects of life and work, as well as in forecasting future product demands, service demands, etc. The most common type of time series data is the one whose observations are taken in equally distributed time intervals (daily, weekly, monthly, etc.). However, in this paper, we analyze a different kind of time series which represents product purchase moments. Thus, since there are not any regular observati

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Brizzi, Maurizio, Daniele Nani, and Lucietta Betti. "Poisson distribution and process as a well-fitting pattern for counting variables in biologic models." International Journal of High Dilution Research - ISSN 1982-6206 11, no. 40 (2021): 126–27. http://dx.doi.org/10.51910/ijhdr.v11i40.586.

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One of the major criticisms directed to basic research on high dilution effects is the lack of a steady statistical approach; therefore, it seems crucial to fix some milestones in statistical analysis of this kind of experimentation. Since plant research in homeopathy has been recently developed and one of the mostly used models is based on in vitro seed germination, here we propose a statistical approach focused on the Poisson distribution, that satisfactorily fits the number of non-germinated seeds.  Poisson distribution is a discrete-valued model often used in statistics when represen

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Watson, Kaitlyn E., Kyle M. Gardiner, and Judith A. Singleton. "The impact of extreme heat events on hospital admissions to the Royal Hobart Hospital." Journal of Public Health 42, no. 2 (2019): 333–39. http://dx.doi.org/10.1093/pubmed/fdz033.

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Abstract Background Extreme heat (EH) events are increasing in frequency and duration and cause more deaths in Australia than any other extreme weather event. Consequently, EH events lead to an increase in the number of patient presentations to hospitals. Methods Climatic observations for Hobart’s region and Royal Hobart Hospital (RHH) emergency department admissions data were collected retrospectively for the study period of 2003–2010. A distributed lag non-linear model (DLNM) was fitted using a generalized linear model with quasi-Poisson family to obtain adjusted estimates for the relationsh

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Albrecht, Peter. "An Evolutionary Credibility Model for Claim Numbers." ASTIN Bulletin 15, no. 1 (1985): 1–17. http://dx.doi.org/10.2143/ast.15.1.2015029.

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This paper considers a particular credibility model for the claim numbers N1, N2, …, Nn, … of a single risk within a collective in successive periods 1, 2, …, n, … In the terminology of Jewell (1975) the model is an evolutionary credibility model, which means that the underlying risk parameter Λ is allowed to vary in successive periods (the structure function is allowed to be time dependent). Evolutionary credibility models for claim amounts have been studied by Bühlmann (1969, pp. 164–165), Gerber and Jones (1975), Jewell (1975, 1976), Taylor (1975), Sundt (1979, 1981, 1983) and Kremer (1982)

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Oscar, Walguen, and Jean Vaillant. "Spatial Cluster Detection Under Dependent Random Environmental Effects." Mathematics 13, no. 3 (2025): 430. https://doi.org/10.3390/math13030430.

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This paper develops a new approach for the detection of spatial clusters in the presence of random environmental effects and covariates when the observed data consist of counts over a regular grid. Such data are frequently overdispersed and spatially dependent. Overdispersion and spatial dependence must be taken into account in the modeling, otherwise the classical scan statistics method may lead to the detection of false clusters. Therefore, we consider that the observed counts are generated by a Cox process, allowing for overdispersion and spatial correlation. The environmental effects here

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Bernal, Tula, Tonatiuh Matos, and Leonardo San.-Hernandez. "A natural explanation of the VPOS from multistate Scalar Field Dark Matter." Journal of Cosmology and Astroparticle Physics 2025, no. 01 (2025): 155. https://doi.org/10.1088/1475-7516/2025/01/155.

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Abstract Observations with the Gaia satellite have confirmed that the satellite galaxies of the Milky Way are not distributed as homogeneously as expected. The same occurs in galaxies such as Andromeda and Centaurus A, where satellites around their host galaxies have been observed to have orbits aligned perpendicular to the galactic plane of the host galaxy. This problem is known for the Milky Way as Vast Polar Structure (VPOS). The Scalar Field Dark Matter Field (SFDM), also known as Ultralight-, Fuzzy-, BEC-, and Axion-dark matter, proposes dark matter is a scalar field, which in the non-rel

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Bright, Tess, Islay Mactaggart, Min Kim, Jennifer Yip, Hannah Kuper, and Sarah Polack. "Rationale for a Rapid Methodology to Assess the Prevalence of Hearing Loss in Population-Based Surveys." International Journal of Environmental Research and Public Health 16, no. 18 (2019): 3405. http://dx.doi.org/10.3390/ijerph16183405.

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Data on the prevalence and causes of hearing loss is lacking from many low and middle-income countries, in part, because all-age population-based surveys of hearing loss can be expensive and time consuming. Restricting samples to older adults would reduce the sample size required, as hearing loss is more prevalent in this group. Population-based surveys of hearing loss require clinicians to be involved in the data collection team and reducing the duration of the survey may help to minimise the impact on service delivery. The objective of this paper was to identify the optimal age-group for con

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Jansson, Moritz K., and Shelby Yamamoto. "The effect of temperature, humidity, precipitation and cloud coverage on the risk of COVID-19 infection in temperate regions of the USA—A case-crossover study." PLOS ONE 17, no. 9 (2022): e0273511. http://dx.doi.org/10.1371/journal.pone.0273511.

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Background Observations based on the spread of SARS-CoV-2 early into the COVID-19 pandemic have suggested a reduced burden in tropical regions leading to the assumption of a dichotomy between cold and dry and wet and warm climates. Objectives Analyzing more than a whole year of COVID-19 infection data, this study intents to refine the understanding of meteorological variables (temperature, humidity, precipitation and cloud coverage) on COVID-19 transmission in settings that experience distinct seasonal changes. Methods and findings A time stratified case-crossover design was adopted with a con

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Safitri, Nurul Indah, I. Wayan Mangku, and Hadi Sumarno. "A Study on the Estimator Distribution for the Expected Value of a Compound Periodic Poisson Process with Power Function Trend." InPrime: Indonesian Journal of Pure and Applied Mathematics 4, no. 2 (2022): 82–90. http://dx.doi.org/10.15408/inprime.v4i2.25104.

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This article discusses the estimation for the expected value, also called the mean function, of a compound periodic Poisson process with a power function trend. The aims of our study are, first, to modify the existing estimator to produce a new estimator that is normally distributed, and, second, to determine the smallest observation interval size such that our proposed estimator is still normally distributed. Basically, we formulate the estimator using the moment method. We use Monte Carlo simulation to check the distribution of our new estimator. The result shows that a new estimator for the

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Dunson, J. C., T. E. Bleier, S. Roth, J. Heraud, C. H. Alvarez, and A. Lira. "The Pulse Azimuth effect as seen in induction coil magnetometers located in California and Peru 2007–2010, and its possible association with earthquakes." Natural Hazards and Earth System Sciences 11, no. 7 (2011): 2085–105. http://dx.doi.org/10.5194/nhess-11-2085-2011.

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Abstract. The QuakeFinder network of magnetometers has recorded geomagnetic field activity in California since 2000. Established as an effort to follow up observations of ULF activity reported from before and after the M = 7.1 Loma Prieta earthquake in 1989 by Stanford University, the QuakeFinder network has over 50 sites, fifteen of which are high-resolution QF1005 and QF1007 systems. Pairs of high-resolution sites have also been installed in Peru and Taiwan. Increases in pulse activity preceding nearby seismic events are followed by decreases in activity afterwards in the three cases that ar

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Vantika, Sandy, Mokhammad Ridwan Yudhanegara, and Karunia Eka Lestari. "POISSON REGRESSION MODELLING OF AUTOMOBILE INSURANCE USING R." BAREKENG: Jurnal Ilmu Matematika dan Terapan 16, no. 4 (2022): 1399–410. http://dx.doi.org/10.30598/barekengvol16iss4pp1399-1410.

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Automobile insurance benefits are protecting the vehicle and minimizing customer losses. Insurance companies must provide funds to pay customer claims if a claim occurs. Insurance claims can be modelled by Poisson regression. Poisson regression is used to analyze the count data with Poisson distributed data responses. this paper, the data model of sample is automobile insurance claims from the companies in one year (in 2021) of observation which contains three types of insurance products, i.e., Total Loss Only (TLO), All Risk, and Comprehensive. The results of data analysis show that the highe

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Ridhawati, Ridhawati, Suyitno Suyitno, and Wasono Wasono. "Model Geographically Weighted Poisson Regression (GWPR) dengan Fungsi Pembobot Adaptive Gaussian." EKSPONENSIAL 12, no. 2 (2021): 143. http://dx.doi.org/10.30872/eksponensial.v12i2.807.

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The Geographically Weighted Poisson Regression (GWPR) Model is a regression model developed from Poisson regression or a local form of Poisson regression. The GWPR model generates a local model parameter estimator at each observation location where the data is collected and assumes the data is Poisson distributed. The estimation of GWPR model parameters uses the Adaptive Gaussian weighting function by determining the optimum bandwidth using GCV criteria. Based on the GWPR model, it is found that the factors that influence the maternal mortality rate (MMR) data in 24 districts (cities) of East

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Zhang, Zhimin, Eric C. K. Cheung, and Hailiang Yang. "ON THE COMPOUND POISSON RISK MODEL WITH PERIODIC CAPITAL INJECTIONS." ASTIN Bulletin 48, no. 1 (2017): 435–77. http://dx.doi.org/10.1017/asb.2017.22.

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AbstractThe analysis of capital injection strategy in the literature of insurance risk models (e.g. Pafumi, 1998; Dickson and Waters, 2004) typically assumes that whenever the surplus becomes negative, the amount of shortfall is injected so that the company can continue its business forever. Recently, Nie et al. (2011) has proposed an alternative model in which capital is immediately injected to restore the surplus level to a positive level b when the surplus falls between zero and b, and the insurer is still subject to a positive ruin probability. Inspired by the idea of randomized observatio

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de Villiers, Didier, Marc Schleiss, Marie-Claire ten Veldhuis, Rolf Hut, and Nick van de Giesen. "Something fishy going on? Evaluating the Poisson hypothesis for rainfall estimation using intervalometers: results from an experiment in Tanzania." Atmospheric Measurement Techniques 14, no. 8 (2021): 5607–23. http://dx.doi.org/10.5194/amt-14-5607-2021.

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Abstract. A new type of rainfall sensor (the intervalometer), which counts the arrival of raindrops at a piezo electric element, is implemented during the Tanzanian monsoon season alongside tipping bucket rain gauges and an impact disdrometer. The aim is to test the validity of the Poisson hypothesis underlying the estimation of rainfall rates using an experimentally determined raindrop size distribution parameterisation based on Marshall and Palmer (1948)'s exponential one. These parameterisations are defined independently of the scale of observation and therefore implicitly assume that rainf

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Faller, Andreas, and Ludger Rüschendorf. "On approximative solutions of optimal stopping problems." Advances in Applied Probability 43, no. 4 (2011): 1086–108. http://dx.doi.org/10.1239/aap/1324045700.

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In this paper we establish an extension of the method of approximating optimal discrete-time stopping problems by related limiting stopping problems for Poisson-type processes. This extension allows us to apply this method to a larger class of examples, such as those arising, for example, from point process convergence results in extreme value theory. Furthermore, we develop new classes of solutions of the differential equations which characterize optimal threshold functions. As a particular application, we give a fairly complete discussion of the approximative optimal stopping behavior of ind

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Faller, Andreas, and Ludger Rüschendorf. "On approximative solutions of optimal stopping problems." Advances in Applied Probability 43, no. 04 (2011): 1086–108. http://dx.doi.org/10.1017/s0001867800005310.

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In this paper we establish an extension of the method of approximating optimal discrete-time stopping problems by related limiting stopping problems for Poisson-type processes. This extension allows us to apply this method to a larger class of examples, such as those arising, for example, from point process convergence results in extreme value theory. Furthermore, we develop new classes of solutions of the differential equations which characterize optimal threshold functions. As a particular application, we give a fairly complete discussion of the approximative optimal stopping behavior of ind

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Niewiadomska, Ewa, Małgorzata Kowalska, Adam Niewiadomski, Michał Skrzypek, and Michał A. Kowalski. "Assessment of Risk Hospitalization due to Acute Respiratory Incidents Related to Ozone Exposure in Silesian Voivodeship (Poland)." International Journal of Environmental Research and Public Health 17, no. 10 (2020): 3591. http://dx.doi.org/10.3390/ijerph17103591.

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The main aim of this work is the estimation of health risks arising from exposure to ozone or other air pollutants by different statistical models taking into account delayed health effects. This paper presents the risk of hospitalization due to bronchitis and asthma exacerbation in adult inhabitants of Silesian Voivodeship from 1 January 2016 to 31 August 2017. Data were obtained from the daily register of hospitalizations for acute bronchitis (code J20–J21, International Classification of Diseases, Tenth Revision – ICD-10) and asthma (J45–J46) which is governed by the National Health Fund. M

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Huelsenbeck, John P., Bret Larget, and David Swofford. "A Compound Poisson Process for Relaxing the Molecular Clock." Genetics 154, no. 4 (2000): 1879–92. http://dx.doi.org/10.1093/genetics/154.4.1879.

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Abstract The molecular clock hypothesis remains an important conceptual and analytical tool in evolutionary biology despite the repeated observation that the clock hypothesis does not perfectly explain observed DNA sequence variation. We introduce a parametric model that relaxes the molecular clock by allowing rates to vary across lineages according to a compound Poisson process. Events of substitution rate change are placed onto a phylogenetic tree according to a Poisson process. When an event of substitution rate change occurs, the current rate of substitution is modified by a gamma-distribu

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Liu, Yuequn, Ruichu Cai, Wei Chen, et al. "TNPAR: Topological Neural Poisson Auto-Regressive Model for Learning Granger Causal Structure from Event Sequences." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 18 (2024): 20491–99. http://dx.doi.org/10.1609/aaai.v38i18.30033.

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Learning Granger causality from event sequences is a challenging but essential task across various applications. Most existing methods rely on the assumption that event sequences are independent and identically distributed (i.i.d.). However, this i.i.d. assumption is often violated due to the inherent dependencies among the event sequences. Fortunately, in practice, we find these dependencies can be modeled by a topological network, suggesting a potential solution to the non-i.i.d. problem by introducing the prior topological network into Granger causal discovery. This observation prompts us t

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Siswantining, Titin, Muhammad Ihsan, Saskya Mary Soemartojo, Devvi Sarwinda, Herley Shaori Al-Ash, and Ika Marta Sari. "MULTIPLE IMPUTATION FOR ORDINARY COUNT DATA BY NORMAL DISTRIBUTION APPROXIMATION." MEDIA STATISTIKA 14, no. 1 (2021): 68–78. http://dx.doi.org/10.14710/medstat.14.1.68-78.

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Missing values are a problem that is often encountered in various fields and must be addressed to obtain good statistical inference such as parameter estimation. Missing values can be found in any type of data, included count data that has Poisson distributed. One solution to overcome that problem is applying multiple imputation techniques. The multiple imputation technique for the case of count data consists of three main stages, namely the imputation, the analysis, and pooling parameter. The use of the normal distribution refers to the sampling distribution using the central limit theorem fo

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Chananet, Chanaphun, and Yupaporn Areepong. "Study on Sensitivity of EWMA and GWMA Control Charts for Detecting Shift with Fast Initial Response." WSEAS TRANSACTIONS ON BUSINESS AND ECONOMICS 22 (January 15, 2025): 157–67. https://doi.org/10.37394/23207.2025.22.15.

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The objective of this study is to assess and compare the effectiveness of control charts that employ Exponentially Weighted Moving Average (EWMA), Generally Weighted Moving Average (GWMA), EWMA with Fast Initial Response (FIR-EWMA), and GWMA with Fast Initial Response (FIR-GWMA) control charts when the observation is zero-truncated Poisson distributed (ZTP). In this study, the Average Run Length (ARL) and the Standard Deviation Run Length (SDRL) will be used as performance comparison criteria for control charts. The Monte Carlo simulation method will be employed to estimate the ARL and SDRL fo

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Roukema, Boudewijn F. "Anti-clustering in the national SARS-CoV-2 daily infection counts." PeerJ 9 (August 27, 2021): e11856. http://dx.doi.org/10.7717/peerj.11856.

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The noise in daily infection counts of an epidemic should be super-Poissonian due to intrinsic epidemiological and administrative clustering. Here, we use this clustering to classify the official national SARS-CoV-2 daily infection counts and check for infection counts that are unusually anti-clustered. We adopt a one-parameter model of $\phi _i^{\prime}$ infections per cluster, dividing any daily count ni into $n_i/ _i^{\prime}$ ‘clusters’, for ‘country’ i. We assume that ${n_i}/\phi _i^{\prime}$ on a given day j is drawn from a Poisson distribution whose mean is robustly estimated from the f

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Butkevičius, Jonas, and Algimantas Juozapavičius. "THE METHODOLOGY OF MODELLING TAXI RANK SERVICE." TRANSPORT 18, no. 4 (2003): 153–56. http://dx.doi.org/10.3846/16483840.2003.10414087.

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The operation of a taxi rank as a passengers' transportation service was not researched till now by means of scientific methods. Authors of this article are suggesting the methodology for the analysis and evaluation of a taxi rank as a passengers' transportation system, when passengers pick up a taxi at taxi ranks. According to the analysis of the collected data the assumption has been made that the number of passengers coming to a taxi rank, as well as the number of taxis arriving to take passengers at a rank are distributed by Poisson distribution law controlled by specific values of paramet

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Pernomiam, Fabiana Car, Amanda Rafaelly Honório Mandetta, Caroline Diniz Pagani Vieira Ribeiro, et al. "Orofacial functions with emphasis on breathing and chewing patterns in individuals with and without molar incisor hypomineralisation: observational study protocol conducted in a dental clinic in Brazil." BMJ Open 15, no. 6 (2025): e101725. https://doi.org/10.1136/bmjopen-2025-101725.

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IntroductionMolar incisor hypomineralisation (MIH) is a qualitative developmental defect of the enamel with a complex, multifactorial nature and a significant genetic component. Individuals with MIH have a compromised stomatognathic system manifested by muscle hyperactivity under postural and dynamic conditions. However, there is a gap in knowledge on the specific functional abnormalities that these individuals experience. Early identification and intervention, with a focus on the prevention of orofacial dysfunctions and deviations in facial growth and development, are aspects of the utmost im

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Puigcorbé, Susanna, Joan R. Villalbí, Xisca Sureda, et al. "Assessing the association between tourism and the alcohol urban environment in Barcelona: a cross-sectional study." BMJ Open 10, no. 9 (2020): e037569. http://dx.doi.org/10.1136/bmjopen-2020-037569.

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ObjectivesAlcohol availability and promotion are not distributed equally in the urban context. Evidence shows that the socioeconomic level seems to influence the amount of alcohol-related elements in an area. Some studies suggest that tourism could also affect the distribution of these elements. We explore with a valid instrument in a large city whether there is an association between high tourism pressure and a greater presence of alcohol-related elements in the urban environment.DesignObservational ecological study.SettingThe study was conducted in Barcelona during 2017–2018.ParticipantsWe a

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Findayani, Sitti Rahmawati, Asrul Sani, and Muh Kabil Djafar. "Analisis Sistem Antrian pada Pelayanan Customer Service (Studi Kasus: PT Bank BRI Cabang Raha)." JOSTECH Journal of Science and Technology 3, no. 2 (2023): 109–21. http://dx.doi.org/10.15548/jostech.v3i2.5719.

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The purpose of this study is to find out the queuing model using the structure of the single phase multi-channel queue system in customer service at PT Bank BRI Raha Branch and find out how to complete the queue model on customer service at PT Bank BRI Raha Branch. This research was conducted with direct observation on customer service at Bank BRI Raha Branch. From the data obtained, a steady state test and a Chi-Square kindness test were carried out on arrival patterns and service patterns. Then complete the queuing model using the single phase multi channel queue system structure. The result

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