Jose Maria Sarabia's Books

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

By: Barry C. Arnold,Jose Maria Sarabia

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Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

By: Barry C. Arnold,Jose Maria Sarabia

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.

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283

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Springer

Published Date

ISBN 10

3319937731

ISBN 13

9783319937731

Conditionally Specified Distributions

By: Barry C. Arnold,Enrique Castillo,Jose-Maria Sarabia Alegria

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Conditionally Specified Distributions

By: Barry C. Arnold,Enrique Castillo,Jose-Maria Sarabia Alegria

The concept of conditional specification is not new. It is likely that earlier investigators in this area were deterred by computational difficulties encountered in the analysis of data following con ditionally specified models. Readily available computing power has swept away that roadblock. A broad spectrum of new flexible models may now be added to the researcher's tool box. This mono graph provides a preliminary guide to these models. Further development of inferential techniques, especially those involving concomitant variables, is clearly called for. We are grateful for invaluable assistance in the preparation of this monograph. In Riverside, Carole Arnold made needed changes in grammer and punctuation and Peggy Franklin miraculously transformed minute hieroglyphics into immaculate typescript. In Santander, Agustin Manrique ex pertly transformed rough sketches into clear diagrams. Finally, we thank the University of Cantabria for financial support which made possible Barry C. Arnold's enjoyable and productive visit to S- tander during the initial stages of the project. Barry C. Arnold Riverside, California USA Enrique Castillo Jose Maria Sarabia Santander, Cantabria Spain January, 1991 Contents 1 Conditional Specification 1 1.1 Why? ............. ........ . 1 1.2 How may one specify a bivariate distribution? 2 1.3 Early work on conditional specification 4 1.4 Organization of this monograph . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 5 2 Basic Theorems 7 Compatible conditionals: The finite discrete case.

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165

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Springer Science & Business Media

Published Date

ISBN 10

146122912X

ISBN 13

9781461229124

Conditional Specification of Statistical Models

By: Barry C. Arnold,Enrique Castillo,Jose M. Sarabia

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Conditional Specification of Statistical Models

By: Barry C. Arnold,Enrique Castillo,Jose M. Sarabia

Efforts to visualize multivariate densities necessarily involve the use of cross-sections, or, equivalently, conditional densities. This book focuses on distributions that are completely specified in terms of conditional densities. They are appropriately used in any modeling situation where conditional information is completely or partially available. All statistical researchers seeking more flexible models than those provided by classical models will find conditionally specified distributions of interest.

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419

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Springer Science & Business Media

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ISBN 10

0387225889

ISBN 13

9780387225883

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

By: Barry C. Arnold,Jose Maria Sarabia

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Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

By: Barry C. Arnold,Jose Maria Sarabia

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Solve jigsaw puzzle

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Page Count

283

Publisher

Springer

Published Date

ISBN 10

3319937731

ISBN 13

9783319937731

Conditionally Specified Distributions

By: Barry C. Arnold,Enrique Castillo,Jose-Maria Sarabia Alegria

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Conditionally Specified Distributions

By: Barry C. Arnold,Enrique Castillo,Jose-Maria Sarabia Alegria

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

165

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146122912X

ISBN 13

9781461229124

Book's by Jose Maria Sarabia

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Conditionally Specified Distributions

Conditionally Specified Distributions

Conditional Specification of Statistical Models

Conditional Specification of Statistical Models

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Conditionally Specified Distributions

Conditionally Specified Distributions

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