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Relevant bibliographies by topics / Slope inequality

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Journal articles

Academic literature on the topic 'Slope inequality'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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Journal articles on the topic "Slope inequality"

1

Moreno-Betancur, Margarita, Aurélien Latouche, Gwenn Menvielle, Anton E. Kunst, and Grégoire Rey. "Relative Index of Inequality and Slope Index of Inequality." Epidemiology 26, no. 4 (2015): 518–27. http://dx.doi.org/10.1097/ede.0000000000000311.

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2

Bellec, Pierre C., Joseph Salmon, and Samuel Vaiter. "A sharp oracle inequality for Graph-Slope." Electronic Journal of Statistics 11, no. 2 (2017): 4851–70. http://dx.doi.org/10.1214/17-ejs1364.

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3

Miyachi, Hideki, and Hiroshige Shiga. "Holonomies and the slope inequality of Lefschetz fibrations." Proceedings of the American Mathematical Society 139, no. 04 (2011): 1299. http://dx.doi.org/10.1090/s0002-9939-2010-10563-4.

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4

Zhang, Tong. "Slope inequality for families of curves over surfaces." Mathematische Annalen 371, no. 3-4 (2017): 1095–136. http://dx.doi.org/10.1007/s00208-017-1551-1.

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5

Ciotti, Luca, and Lucia Morganti. "How general is the global density slope-anisotropy inequality?" Monthly Notices of the Royal Astronomical Society 408, no. 2 (2010): 1070–74. http://dx.doi.org/10.1111/j.1365-2966.2010.17184.x.

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6

Van Hese, Emmanuel, Maarten Baes, and Herwig Dejonghe. "ON THE UNIVERSALITY OF THE GLOBAL DENSITY SLOPE-ANISOTROPY INEQUALITY." Astrophysical Journal 726, no. 2 (2010): 80. http://dx.doi.org/10.1088/0004-637x/726/2/80.

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7

Prisk, G. Kim, Harold J. B. Guy, John B. West, and James W. Reed. "Validation of measurements of ventilation-to-perfusion ratio inequality in the lung from expired gas." Journal of Applied Physiology 94, no. 3 (2003): 1186–92. http://dx.doi.org/10.1152/japplphysiol.00662.2002.

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The analysis of the gas in a single expirate has long been used to estimate the degree of ventilation-perfusion (V˙a/Q˙) inequality in the lung. To further validate this estimate, we examined three measures ofV˙a/Q˙ inhomogeneity calculated from a single full exhalation in nine anesthetized mongrel dogs under control conditions and after exposure to aerosolized methacholine. These measurements were then compared with arterial blood gases and with measurements of V˙a/Q˙ inhomogeneity obtained using the multiple inert gas elimination technique. The slope of the instantaneous respiratory exchange ratio (R slope) vs. expired volume was poorly correlated with independent measures, probably because of the curvilinear nature of the relationship due to continuing gas exchange. When R was converted to the intrabreathV˙a/Q˙ (iV˙/Q˙), the best index was the slope of iV˙/Q˙ vs. volume over phase III (iV˙/Q˙slope). This was strongly correlated with independent measures, especially those relating to inhomogeneity of perfusion. The correlations for iV˙/Q˙ slope and R slope considerably improved when only the first half of phase III was considered. We conclude that a useful noninvasive measurement ofV˙a/Q˙ inhomogeneity can be derived from the intrabreath respiratory exchange ratio.

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8

Steinbeis, Fridolin, Dzintars Gotham, Peter von Philipsborn, and Jan M. Stratil. "Quantifying changes in global health inequality: the Gini and Slope Inequality Indices applied to the Global Burden of Disease data, 1990–2017." BMJ Global Health 4, no. 5 (2019): e001500. http://dx.doi.org/10.1136/bmjgh-2019-001500.

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BackgroundThe major shifts in the global burden of disease over the past decades are well documented, but how these shifts have affected global inequalities in health remains an underexplored topic. We applied comprehensive inequality measures to data from the Global Burden of Disease (GBD) study.MethodsBetween-country relative inequality was measured by the population-weighted Gini Index, between-country absolute inequality was calculated using the population-weighted Slope Inequality Index (SII). Both were applied to country-level GBD data on age-standardised disability-adjusted life years.FindingsAbsolute global health inequality measured by the SII fell notably between 1990 (0.68) and 2017 (0.42), mainly driven by a decrease of disease burden due to communicable, maternal, neonatal and nutritional diseases (CMNN). By contrast, relative inequality remained essentially unchanged from 0.21 to 0.19 (1990–2017), with a peak of 0.23 (2000–2008). The main driver for the increase of relative inequality 1990–2008 was the HIV epidemic in Sub-Saharan Africa. Relative inequality increased 1990–2017 within each of the three main cause groups: CMNNs; non-communicable diseases (NCDs); and injuries.ConclusionsDespite considerable reductions in disease burden in 1990–2017 and absolute health inequality between countries, absolute and relative international health inequality remain high. The limited reduction of relative inequality has been largely due to shifts in disease burden from CMNNs and injuries to NCDs. If progress in the reduction of health inequalities is to be sustained beyond the global epidemiological transition, the fight against CMNNs and injuries must be joined by increased efforts for NCDs.

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9

Wang, Shuaiwen, Haolei Weng, and Arian Maleki. "Does SLOPE outperform bridge regression?" Information and Inference: A Journal of the IMA 11, no. 1 (2021): 1–54. http://dx.doi.org/10.1093/imaiai/iaab025.

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Abstract A recently proposed SLOPE estimator [6] has been shown to adaptively achieve the minimax $\ell _2$ estimation rate under high-dimensional sparse linear regression models [25]. Such minimax optimality holds in the regime where the sparsity level $k$, sample size $n$ and dimension $p$ satisfy $k/p\rightarrow 0, k\log p/n\rightarrow 0$. In this paper, we characterize the estimation error of SLOPE under the complementary regime where both $k$ and $n$ scale linearly with $p$, and provide new insights into the performance of SLOPE estimators. We first derive a concentration inequality for the finite sample mean square error (MSE) of SLOPE. The quantity that MSE concentrates around takes a complicated and implicit form. With delicate analysis of the quantity, we prove that among all SLOPE estimators, LASSO is optimal for estimating $k$-sparse parameter vectors that do not have tied nonzero components in the low noise scenario. On the other hand, in the large noise scenario, the family of SLOPE estimators are sub-optimal compared with bridge regression such as the Ridge estimator.

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10

Freire, Maria do Carmo Matias, Lidia Moraes Ribeiro Jordão, Deborah Carvalho Malta, Silvânia Suely Caribé de Araújo Andrade, and Marco Aurelio Peres. "Socioeconomic inequalities and changes in oral health behaviors among Brazilian adolescents from 2009 to 2012." Revista de Saúde Pública 49 (2015): 1–10. http://dx.doi.org/10.1590/s0034-8910.2015049005562.

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OBJECTIVE To analyze oral health behaviors changes over time in Brazilian adolescents concerning maternal educational inequalities. METHODS Data from the Pesquisa Nacional de Saúde do Escolar (Brazilian National School Health Survey) were analyzed. The sample was composed of 60,973 and 61,145 students from 26 Brazilian state capitals and the Federal District in 2009 and 2012, respectively. The analyzed factors were oral health behaviors (toothbrushing frequency, sweets consumption, soft drink consumption, and cigarette experimentation) and sociodemographics (age, sex, race, type of school and maternal schooling). Oral health behaviors and sociodemographic factors in the two years were compared (Rao-Scott test) and relative and absolute measures of socioeconomic inequalities in health were estimated (slope index of inequality and relative concentration index), using maternal education as a socioeconomic indicator, expressed in number of years of study (> 11; 9-11; ≤ 8). RESULTS Results from 2012, when compared with those from 2009, for all maternal education categories, showed that the proportion of people with low toothbrushing frequency increased, and that consumption of sweets and soft drinks and cigarette experimentation decreased. In private schools, positive slope index of inequality and relative concentration index indicated higher soft drink consumption in 2012 and higher cigarette experimentation in both years among students who reported greater maternal schooling, with no significant change in inequalities. In public schools, negative slope index of inequality and relative concentration index indicated higher soft drink consumption among students who reported lower maternal schooling in both years, with no significant change overtime. The positive relative concentration index indicated inequality in 2009 for cigarette experimentation, with a higher prevalence among students who reported greater maternal schooling. There were no inequalities for toothbrushing frequency or sweets consumption. CONCLUSIONS There were changes in the prevalences of oral health behaviors during the analyzed period; however, these changes were not related to maternal education inequalities.

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