Unimodality, Convexity, and Applications - 1st Edition - ISBN: 9780122146909, 9780080917665

Unimodality, Convexity, and Applications

1st Edition

Series Volume Editors: Sudhakar Dharmadhikari Kumar Joag-Dev
Hardcover ISBN: 9780122146909
eBook ISBN: 9780080917665
Imprint: Academic Press
Published Date: 1st August 1988
Page Count: 278
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Table of Contents

Properties of Univariate Unimodal Distributions. Concepts of Multivariate Unimodality. Some More Notions of Unimodality. Unimodality for Discrete Distributions. Unimodality of Infinitely Divisible Distributions. Unimodality and Notions of Dependence. Ordering of Distributions by Peakedness. Applications of Unimodality in Statistical Inference. Convexity in Reliability Theory. Appendix.


In this book, the basic notions and tools of unimodality as they relate to probability and statistics are presented. In addition, many applications are covered; these include the use of unimodality to obtain monotonicity properties of power functions of multivariate tests, minimum volume confidence regions, and recurrence of symmetric random walks. The diversity of the applications will convince the reader that unimodality and convexity form an important tool in the hands of a researcher in probability and statistics.


Researchers in probability and statistics.


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© Academic Press 1988
Academic Press
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About the Series Volume Editors

Sudhakar Dharmadhikari Series Volume Editor

Kumar Joag-Dev Series Volume Editor