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Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics
Authors: ---
ISBN: 3319937723 3319937731 Year: 2018 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

This book was written to serve as a graduate-level textbook for special topics classes in mathematics, statistics, and economics, to introduce these topics to other researchers, and for use in short courses. It is an introduction to the theory of majorization and related notions, and contains detailed material on economic applications of majorization and the Lorenz order, investigating the theoretical aspects of these two interrelated orderings. Revising and expanding on an earlier monograph, Majorization and the Lorenz Order: A Brief Introduction, the authors provide a straightforward development and explanation of majorization concepts, addressing historical development of the topics, and providing up-to-date coverage of families of Lorenz curves. The exposition of multivariate Lorenz orderings sets it apart from existing treatments of these topics. Mathematicians, theoretical statisticians, economists, and other social scientists who already recognize the utility of the Lorenz order in income inequality contexts and arenas will find the book useful for its sound development of relevant concepts rigorously linked to both the majorization literature and the even more extensive body of research on economic applications. Barry C. Arnold, PhD, is Distinguished Professor in the Statistics Department at the University of California, Riverside. He is a Fellow of the American Statistical Society, the American Association for the Advancement of Science, and the Institute of Mathematical Statistics, and is an elected member of the International Statistical Institute. He is the author of more than two hundred publications and eight books. José María Sarabia, PhD, is Professor of Statistics and Quantitative Methods in Business and Economics in the Department of Economics at the University of Cantabria, Spain. He is author of more than one hundred and fifty publications and ten books and is an associate editor of several journals including TEST, Communications in Statistics, and Journal of Statistical Distributions and Applications. .

Advances in distribution theory, order statistics, and inference
Authors: --- --- --- ---
ISBN: 9780817643614 0817643613 0817644873 Year: 2006 Publisher: Boston : Birkhauser,

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Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold’s significant contributions to the field, this volume is an outgrowth of the "International Conference on Distribution Theory, Order Statistics, and Inference," held at the University of Cantabria, Santander, Spain. Several distinguished and active researchers highlight some of the recent developments in statistical distribution theory, order statistics and their properties, as well as inferential methods associated with them. Applications to survival analysis, reliability, quality control, and environmental problems are emphasized. The volume is classified into the following five parts, according to the focus of the articles: * Discrete distributions and applications * Continuous distributions and applications * Order statistics and applications * Reliability and applications * Inference This comprehensive reference work will serve the statistical and applied mathematics communities, as well as practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics.

Keywords

Distribution (Probability theory) --- Order statistics --- Mathematical statistics --- Distribution (Théorie des probabilités) --- Statistiques ordonnées --- Statistique mathématique --- Congresses. --- Congrès --- Arnold, Barry C. --- Distribution (Probability theory) -- Congresses. --- Mathematical statistics -- Congresses. --- Order statistics -- Congresses. --- Mathematical Statistics --- Mathematics --- Physical Sciences & Mathematics --- Distribution (Théorie des probabilités) --- Statistiques ordonnées --- Statistique mathématique --- Congrès --- EPUB-LIV-FT LIVSTATI SPRINGER-B --- Statistics, Order --- Distribution functions --- Frequency distribution --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Statistics. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Applications of Mathematics. --- Characteristic functions --- Probabilities --- Nonparametric statistics --- Ranking and selection (Statistics) --- Distribution (Probability theory. --- Mathematical statistics. --- Math --- Science --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Statistics . --- Engineering --- Engineering analysis --- Mathematical analysis --- Probability --- Combinations --- Chance --- Least squares --- Risk

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