Academic literature on the topic 'Prob.-Math. Statistics'
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Journal articles on the topic "Prob.-Math. Statistics"
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Albrecher, Hansjörg, Jozef Teugels, and Klaus Scheicher. "A combinatorial identity for a problem in asymptotic statistics." Applicable Analysis and Discrete Mathematics 3, no. 1 (2009): 64–68. http://dx.doi.org/10.2298/aadm0901064a.
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Let (Xi)i?1 be a sequence of positive independent identically distributed random variables with regularly varying distribution tail of index 0 < ? < 1 and define Tn = X1?+X2?+???+Xn?/(X1+X2+???+ Xn)?.In this note we simplify an expression for lim n?? E(T kn ), which was obtained by Albrecher and Teugels: Asymptotic analysis of a measure of variation. Theory Prob. Math. Stat., 74 (2006), 1-9, in terms of coefficients of a continued fraction expansion. The new formula establishes an unexpected link to an enumeration problem for rooted maps on orientable surfaces that was studied in Arqu?s and B?raud: Rooted maps of orientable surfaces, Riccati's equation and continued fractions. Discrete Mathematics, 215 (2000), 1-12.
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Zhigarev, I. "Analysis and Prediction of the Cybersports Match Outcome in DOTA 2 Discipline Based on Multi-factor Regression on the Example of the Team Virtus Pro." Bulletin of Science and Practice 5, no. 10 (October 15, 2019): 19–24. http://dx.doi.org/10.33619/2414-2948/47/02.
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This article is devoted to the question of constructing a regression model, which will make it possible to analyze and predict the outcome of e-sports meetings in the DOTA 2 discipline using the Virtus Pro team as an example. In addition, throughout the text, a brief analysis of the e-sports industry these days, as well as a brief explanation of the essence of the chosen e-sports discipline are taken into consideration. Convincing arguments are presented that make it possible for the reader to understand that e-sports today can equal traditional sports in the following indicators: the number of followers, peak views as well as the amount of money circulating in the industry. The law introduced during the research is intended for the following external users: e-sports organizations, potential investors, breeders as well as for the players themselves. The resulting model was analyzed and described using various statistical indicators. A correlation grid was obtained, indicators of regression statistics were described, analysis of variance was made with a detailed description of its results. Factor signs considered during the research are described in detail for reader’s understanding. It is important to note that the resulting law makes it possible to apply it not only to the object of study, but also to other e-sports organizations having a team in this discipline, provided that their styles of playing the game have similarities. The tool for deriving the regression law was Microsoft Excel. The source of data is the team’s statistics, which were collected during real e-sports meetings by the leading site of statistics and the gaming community DOTA 2 — Dotabuff.
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Birrittella, Richard J., Paul M. Alsing, James Schneeloch, Christopher C. Gerry, Jihane Mimih, and Peter L. Knight. "Engineering superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer." AVS Quantum Science 5, no. 1 (March 2023): 011406. http://dx.doi.org/10.1116/5.0137099.
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We revisit a method for mapping arbitrary single-mode pure states into superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer (ANLMZI). This method would allow one to tailor-make superpositions of N00N states where each axis of the two-mode joint-photon number distribution is weighted by the statistics of any single-mode pure state. The non-linearity of the ANLMZI comes in the form of a [Formula: see text] self-Kerr interaction occurring on one of the intermediary modes of the interferometer. Motivated by the non-classical interference effects that occur at a beam splitter, we introduce inverse-engineering techniques aimed toward extrapolating optimal transformations for generating N00N state superpositions. These techniques are general enough so as to be employed to probe the means of generating states of any desired quantum properties.
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Loucks, Richard B., and James M. Wallace. "Velocity and velocity gradient based properties of a turbulent plane mixing layer." Journal of Fluid Mechanics 699 (April 16, 2012): 280–319. http://dx.doi.org/10.1017/jfm.2012.103.
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AbstractExperiments were carried out in a turbulent mixing layer designed to match, as closely as possible, the conditions of the temporally evolving direct numerical simulation of Rogers & Moser (Phys. Fluids, vol. 6, 1994, pp. 903–922). Two Reynolds numbers, based on the local momentum thickness in the self-similar region of the mixing layer, were investigated:${R}_{\theta } = 1792$and$2483$. Measurements were also made in the mixing layer in the pre-mixing transition region where${R}_{\theta } = 432$. The three velocity components and their cross-stream gradients were measured with a small 12-sensor hot-wire probe that traversed the mixing layer. Taylor’s hypothesis was used to estimate the streamwise gradients of the velocity components so that reasonably good approximations of all the components of the velocity gradient tensor would be available. The signal from a single-sensor probe at a fixed position in the high-speed free stream flow provided a reference to the phases of the passage of large-scale, coherent, spanwise-oriented vortices past the 12-sensor probe. The velocity and velocity gradient data were analysed to determine turbulence statistical characteristics, including moments, probability density functions and one-dimensional spectra of the velocity and vorticity fields. Although the velocity statistics obtained from the experiment agree well with those from the direct numerical simulation of Rogers & Moser, there are significant differences in the vorticity statistics. The phase reference from the fixed single-sensor probe permitted phase averaging of the 12-sensor probe data so that the spanwise ‘roller’ vortices could be separated from the small-scale, more random turbulence, as had been previously demonstrated by Hussain & Zaman (J. Fluid Mech., vol. 159, 1985, pp. 85–104). In this manner, the data could be conditionally averaged to examine the spatial distributions, with respect to the roller vortices, of interesting and important characteristics of the turbulence, such as the turbulent kinetic energy production and dissipation rate, enstrophy and vorticity component covariances.
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Zhang, Yan-Xia, Yong-Heng Zhao, Xue-Bing Wu, and Hai-Jun Tian. "Statistical analysis of cross-correlation sample of 3XMM-DR4 with SDSS-DR10 and UKIDSS-DR9." Proceedings of the International Astronomical Union 10, S306 (May 2014): 372–74. http://dx.doi.org/10.1017/s1743921315000022.
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AbstractWe match the XMM-Newton 3XMMi-DR4 catalog with the Sloan Digital Sky Survey (SDSS) Data Release 10 and the United Kingdom Infrared Deep Sky Survey (UKIDSS) Data Release 9. Based on this X-ray/optical/infrared catalog, we probe the distribution of various types of X-ray emitters in the multidimensional parameter space. It is found that quasars, galaxies and stars have some kind distribution rule, especially for stars. The result shows that only using the X-ray/optical features, stars are difficult to discriminate from galaxies and quasars, the added information from infrared band is very helpful to improve the classification result of any classifier. Comparing the classification accuracy of random forests with that of rotation forests, rotation forests show better performance.
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Rautenberg, Alexander, Jonas Allgeier, Saskia Jung, and Jens Bange. "Calibration Procedure and Accuracy of Wind and Turbulence Measurements with Five-Hole Probes on Fixed-Wing Unmanned Aircraft in the Atmospheric Boundary Layer and Wind Turbine Wakes." Atmosphere 10, no. 3 (March 7, 2019): 124. http://dx.doi.org/10.3390/atmos10030124.
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For research in the atmospheric boundary layer and in the vicinity of wind turbines, the turbulent 3D wind vector can be measured from fixed-wing unmanned aerial systems (UAS) with a five-hole probe and an inertial navigation system. Since non-zero vertical wind and varying horizontal wind causes variations in the airspeed of the UAS, and since it is desirable to sample with a flexible cruising airspeed to match a broad range of operational requirements, the influence of airspeed variations on mean values and turbulence statistics is investigated. Three calibrations of the five-hole probe at three different airspeeds are applied to the data of three flight experiments. Mean values and statistical moments of second order, calculated from horizontal straight level flights are compared between flights in a stably stratified polar boundary layer and flights over complex terrain in high turbulence. Mean values are robust against airspeed variations, but the turbulent kinetic energy, variances and especially covariances, and the integral length scale are strongly influenced. Furthermore, a transect through the wake of a wind turbine and a tip vortex is analyzed, showing the instantaneous influence of the intense variations of the airspeed on the measurement of the turbulent 3D wind vector. For turbulence statistics, flux calculations, and quantitative analysis of turbine wake characteristics, an independent measurement of the true airspeed with a pitot tube and the interpolation of calibration polynomials at different Reynolds numbers of the probe’s tip onto the Reynolds number during the measurement, reducing the uncertainty significantly.
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Tomkins, C. D., B. J. Balakumar, G. Orlicz, K. P. Prestridge, and J. R. Ristorcelli. "Evolution of the density self-correlation in developing Richtmyer–Meshkov turbulence." Journal of Fluid Mechanics 735 (October 24, 2013): 288–306. http://dx.doi.org/10.1017/jfm.2013.430.
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AbstractTurbulent mixing in a Richtmyer–Meshkov unstable light–heavy–light (air–${\mathrm{SF} }_{6} $–air) fluid layer subjected to a shock (Mach 1.20) and a reshock (Mach 1.14) is investigated using ensemble statistics obtained from simultaneous velocity–density measurements. The mixing is driven by an unstable array of initially symmetric vortices that induce rapid material mixing and create smaller-scale vortices. After reshock the flow appears to transition to a turbulent (likely three-dimensional) state, at which time our planar measurements are used to probe the developing flow field. The density self-correlation $b= - \langle \rho v\rangle $ (where $\rho $ and $v$ are the fluctuating density and specific volume, respectively) and terms in its evolution equation are directly measured experimentally for the first time. Amongst other things, it is found that production terms in the $b$ equation are balanced by the dissipation terms, suggesting a form of equilibrium in $b$. Simultaneous velocity measurements are used to probe the state of the incipient turbulence. A length-scale analysis suggests that an inertial range is beginning to form, consistent with the onset of a mixing transition. The developing turbulence is observed to reduce non-Boussinesq effects in the flow, which are found to be small over much of the layer after reshock. Second-order two-point structure functions of the density field exhibit a power-law behaviour with a steeper exponent than the standard $2/ 3$ power found in canonical turbulence. The absence of a significant $2/ 3$ region is observed to be consistent with the state of the flow, and the emergence of the steeper power-law region is discussed.
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Zhong, Dongbo. "An ALOHA-Based Algorithm Based on Grouping of Tag Prefixes for Industrial Internet of Things." Security and Communication Networks 2022 (April 13, 2022): 1–8. http://dx.doi.org/10.1155/2022/1812670.
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Nowadays, radio frequency identification (RFID) technology has been widely used in logistics, warehousing, urban transportation, medicine, and other fields due to its advantages of fast identification speed, low cost, and high security. The multitag collision problem causes the reader to fail to complete the identification of the tags in its coverage in time, thus seriously affecting the work efficiency of the entire RFID system. Therefore, the study of an efficient multitag identification algorithm is the basic premise to ensure the industrial application of RFID. Aiming at the problems of the low slot utilization rate of the existing DFSA algorithm in a large-scale tag recognition environment, we proposed a dynamic frame slotting anticollision algorithm based on tags prefix grouping called G-DFSA. G-DFSA uses the tag prefix to recognize the tag set and constructs the probe frame based on the grouping. Then, the slot statistics results of the probe frame are used to process the frames whose frame length does not match the number of tags. As shown in the simulation results, the system efficiency of the proposed algorithm is still close to the theoretical optimal throughput rate of DFSA algorithm 0.368 in the large-scale tag set. Compared with the existing methods, G-DFSA has obvious advantages in system throughput.
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Husada, Cahyadi, Pratiwi Nila Sari, and Ery Teguh Prasetyo. "Net Sales Cost of Goods Sold Other Expense Dan Income Tax Expense-Net Atas Output Laba Bersih (Case Study)." Jurnal Kajian Ilmiah 21, no. 1 (January 15, 2021): 1–16. http://dx.doi.org/10.31599/jki.v21i1.419.
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This study aims to determine the specific influence between the independent variables and the dependent variable either partially or simultaneously. This study was conducted to analyze previous research with similar research objects at the Food & beverages Sub-Sector Companies listed on the Indonesia Stock Exchange. This is done in order to match accounting theory and practice that is applied properly and correctly in other forms of business that have a mission to improve financial performance such as these companies on the IDX. The method in this research is quantitative statistics with a probability sample in the form of purposive sampling. The stages are to determine the population and sample independently, and then process them using a data processing tool called Eviews version 9 to the classical assumption test and hypothesis testing. The results obtained partially for the Net Sales hypothesis test (x1) has no effect because it has a probability value of 0.3497, for Cost of Goods Sold (x2) has an effect because it has a probability value of 0.000, for Other Expenses (x3) has an effect because it has a value probability of 0.000, and for Net Tax Expense (x4) has an effect because it has a probability value of 0.000. Meanwhile, simultaneously, Net Sales (x1), Cost of Goods Sold (x2), Other Expenses (x3), Net Tax Expenses (x4) have an effect. This can be seen in the table above which shows the Prob F-statistic of 0.000000.
Keywords: Net Sales, Cost Of Goods Sold, Other Expense, Income Tax Expense-Net, Net Income
Abstrak
Penelitian ini bertujuan untuk mengetahui spesifik adanya pengaruh antar variabel independen dengan dari variabel dependen baik secara parsial maupun simultan. Penelitian ini dilakukan untuk menganalisis penelitian terdahulu dengan objek penelitian yang serupa pada Perusahaan Sub Sektor Food & beverages yang terdaftar di Bursa Efek Indonesia. Hal tersebut dilakukan guna mencocokkan antara teori dan praktik akuntansi yang diterapkan secara baik dan benar pada bentuk usaha lainnya yang memiliki misi dalam peningkatan kinerja keuangan seperti perusahaan tersebut di BEI. Metode dalam penelitian ini adalah statistik kuantitatif dengan sampel probabilitas berupa purposive sampling. Tahapannya adalah dengan menentukan populasi dan sampel secara bebas, dan kemudian mengolahnya menggunakan alat pengolahan data bernama eviews versi 9 sampai kepada uji asumsi klasik dan pengujian hipotesis. Hasil penelitian didapat secara parsial untuk uji hipotesis Penjualan Bersih (x1) tidak memiliki pengaruh karena memiliki nilai probabilitas sebesar 0.3497, untuk Beban Pokok Penjualan (x2) memiliki pengaruh karena memiliki nilai probabilitas sebesar 0.000, untuk Beban Lainnya (x3) memiliki pengaruh karena memiliki nilai probabilitas sebesar 0.000, dan untuk Beban Pajak Bersih (x4) memiliki pengaruh karena memiliki nilai probabilitas sebesar 0.000. Sedangkan secara simultan, Penjualan Bersih (x1), Beban Pokok Penjualan (x2), Beban Lainnya (x3), Beban Pajak Bersih (x4) mempunyai pengaruh. Hal ini dapat dilihat pada tabel diatas yang menunjukkan Prob F-statistiknya sebesara 0.000000.
Kata kunci: Penjualan Bersih, Harga Pokok Penjualan, Beban Lainnya, Beban Pajak Penghasilan-Bersih, Laba Bersih
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van Dooren, Marijn Floris, Anantha Padmanabhan Kidambi Sekar, Lars Neuhaus, Torben Mikkelsen, Michael Hölling, and Martin Kühn. "Modelling the spectral shape of continuous-wave lidar measurements in a turbulent wind tunnel." Atmospheric Measurement Techniques 15, no. 5 (March 15, 2022): 1355–72. http://dx.doi.org/10.5194/amt-15-1355-2022.
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Abstract. This paper describes the development of a theoretical model for the turbulence spectrum measured by a short-range, continuous-wave lidar (light detection and ranging). The lidar performance was assessed by measurements conducted with two WindScanners in an open-jet wind tunnel equipped with an active grid, for a range of different turbulent wind conditions. A hot-wire anemometer is used as reference to assess the lidar's measured statistics, time series and spectra. In addition to evaluating the statistics, the correlation between the time series and the root-mean-square error (RMSE) on the wind speed, the turbulence spectrum measured by the lidar is compared with a modelled spectrum. The theoretical spectral model is applied in the frequency domain, using a Lorentzian filter in combination with Taylor's frozen turbulence hypothesis for the probe length averaging effect and an added white noise term, evaluated by qualitatively matching the lidar measurement spectrum. High goodness-of-fit coefficients and low RMSE values between the hot wire and WindScanner were observed for the measured time series. The correlation showed an inverse relationship with the prevalent turbulence intensity in the flow for cases with a comparable power spectrum shape. Larger flow structures can be captured more accurately by the lidar, whereas small-scale turbulent flow structures are partly filtered out as a result of the lidar's probe volume averaging effect. It is demonstrated that an accurate way to define the cut-off frequency at which the lidar's power spectrum starts to deviate from the hot-wire reference spectrum is the frequency at which the coherence drops below 0.5. This coherence-based cut-off frequency increases linearly with the mean wind speed and is generally an order of magnitude lower than the probe length equivalent cut-off frequency, estimated according to a simple model based on the full width at half maximum (FWHM) of the laser beam intensity along the line of sight and assuming Taylor's frozen turbulence hypothesis. A convincing match between the modelled and the measured WindScanner power spectrum was found for various different cases, which confirmed that the deviation of the lidar's measured power spectrum in the higher frequency range can be analytically explained and modelled as a combination of a Lorentzian-shaped intensity function and white noise in the lidar measurement. Although the models were developed on the basis of wind tunnel measurements, they should be applicable to atmospheric boundary layer field measurements as well.
Books on the topic "Prob.-Math. Statistics"
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Bain and ENGLEHARD. Intro Prob & Math Stats. Brooks Cole, 1987.
Find full textBook chapters on the topic "Prob.-Math. Statistics"
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Stępniak, C. "Correction to “Uniform Theory of Comparison of Linear Models” (Proc. of the 3rd Pannonian Symp. on Math. Statist. 323–334)." In Mathematical Statistics and Applications, 311. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5438-0_22.
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"Statistics." In First Steps for Math Olympians, 135–42. Providence, Rhode Island: American Mathematical Society, 2006. http://dx.doi.org/10.1090/prb/034/13.
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Clevert, Djork-Arné, and Axel Rasche. "The Affymetrix GeneChip® Microarray Platform." In Handbook of Research on Systems Biology Applications in Medicine, 251–61. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-076-9.ch014.
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Readers shall find a quick introduction with recommendations into the preprocessing of Affymetrix GeneChip® microarrays. In the rapidly growing field of microarrays, gene expression, especially the Affymetrix GeneChip arrays, is an established technology present on the market for over ten years. Used in biomedical research, the mass of information demands statistics for its analysis. Here we present the particular design of GeneChip arrays, where much research has already been invested and some validation resources for the comparison of the methods are available. For a basic understanding of the preprocessing, we emphasize the steps, namely: background correction, normalization, perfect match correction, summarization, and couple these with alternative probe-gene assignments. Combined with a recommendation of successful methods a first use of the new technology becomes possible.
Conference papers on the topic "Prob.-Math. Statistics"
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Hamade, R. F. "Studying Your Students as They Learn: A Case Study of CAD Education." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10195.
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Having observed mechanical engineering seniors at the American University of Beirut (AUB) go about learning computer-aided design (CAD) in a formal setting, the instructors always wondered why some students acquire CAD skills with relative ease while some others seem to struggle. For this reason, a methodical study was launched in order to address this issue. Hence, and in order to “study the students as they learn” was accomplished by following 74 mechanical engineering seniors (it took three academic years including AY 2008–09 in order to have access to this relatively large number of trainees) as they went through a semester-long formal training on a commercial computer-aided design (CAD) package (Pro/Engineer, version Wildfire). The study methodically explored the trainees’: (1) technical background, (2) behavioral attributes (willingness-to-learn), and their (3) learning preferences. Investigating the technical background included quantifying the trainees’ relevant technical competencies specifically: basic math foundation, advanced math foundation, CAD-related mathematical foundation, computer science and engineering foundation, methodologies related to CAD, graphics foundation, and mechanical design foundation. Determining the trainees’ behavioral attributes included exploring their initial attitude towards learning of CAD, perception and imagination, and gauging their actual behavior (practice and CAD skills learned) throughout the training. Trainees’ learning styles were determined according to the index of learning styles, ILS [1]. Furthermore, and in order to assess the trainees’ progress in CAD knowledge acquisition, competency tests were conducted at four intervals throughout the semester-long study (2, 4, 7, and 12 weeks). The assessment involved hands-on building of CAD test parts of comparable complexity. At the conclusion of the study, statistical methods were used to correlate the trainees’ attributes with their monitored performance. Only a fraction (17 out of a class of 74 trainees or about one in four) of the trainees were found to fit the “star CAD trainee” mold which was defined in this study as someone who is fast on the tube as well as perceptive enough to be see through the procedure of building progressively more sophisticated CAD models. A profile of this “star CAD trainee” character emerges as an individual who is technically competent and perceptive, with personal drive and positive attitude, and who possesses active, sensor, sequential and visualizing learning styles.
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Pandey, Vikram Kumar, Permanand Dhermeshwar Thankur, Setiyo Pamungkas, Tony Thomas, Redha Al Lawatia, Magdy Samir, Talha Zubair, and Abdul Bari. "Vertical Interference Testing as a Gateway to Permeability Anisotropy Demystification and Understanding Fluid Displacement in Carbonates." In SPE Reservoir Characterisation and Simulation Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/212646-ms.
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Abstract Carbonates are infamous for their complex intrinsic heterogeneity, exaggerated due to stratification and layered geology. Characterization and correlation of this heterogeneity with recovery mechanisms becomes critical pertaining to Lower Cretaceous reservoir ‘A’ with over 4 decades of production/injection history. Hence, it is pertinent to systematically reduce the uncertainties associated with reservoir characterization by delineating high permeability streaks, permeability-contrasts, links between geological and petrophysical facies and their impact on field scale production/injection strategies. Emphasis was put on capturing downhole dynamic Kv/Kh profile across sub layers of the reservoir ‘A’, to enable assignment of representative values into reservoir simulation model with associated reservoir zonation. Vertical interference testing (VIT) was designed in a crestal location well with a history of near-by waterflooding, integrating simulator-based outputs with petrophysical and borehole image logs of an offset. Drawdown-buildup cycle was performed across source probe or packer, while simultaneous monitoring of pressure at observation probe. To reduce uncertainty and incorporate statistical sense into the data, multiple cycles of drawdown-buildup were conducted for vertical connectivity evaluation. In total, eleven VIT tests conducted with formation tester tool utilizing dual-straddle-packer and two-probe modules were interpreted implementing a systematic approach considering vertical communication as a function of geological facies and textural aspects from borehole images, geological information on fractures/faults, and surfaces. Interpretation involves identification of flow-units based on available logs, followed by identification of flow regimes (spherical/radial) to history-match data for estimation of horizontal and vertical permeabilities of each layer. Resultant analysis yielded insights on anisotropy by validating vertical communication through stylolite and across dense layers. Integration of VIT analysis results (Kh,Kv,Kv/Kh) with petrophysical logs led to the establishment of water flood advancement mechanism in this observation well at the crestal location of field. This establishes a critical link between integrated geological, textural and facies analysis in context of sedimentology, layering and rock quantified fabric permeability indicators visible on high vertical and horizontal resolution borehole image. Thereby, allowing derivation of scalable answer products and workflows. Subsequently, explaining water flood mechanism and enabling updating of simulation model for enhanced reservoir characterization. Furthermore, this also allows for field development augmentation and injection strategy optimization through linking of dynamic results to reservoir description of two major sub-layers of this giant carbonate field. Integration and analysis of key insights on vertical communication and carbonate anisotropy with major geological/petrophysical features aided in characterizing 3D static and dynamic models. This would allow improved trajectory planning of future wells, leading to improvement in recovery efficiency through guided injection strategy. Additionally, proactive data aggregation and insightful interpretation to help accelerate realization of value from field development strategy was highlighted.