Probability Inequalities in Multivariate Distributions is popular PDF and ePub book, written by Y. L. Tong in 2014-07-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Probability Inequalities in Multivariate Distributions can be Read Online from any device for your convenience.
Probability Inequalities in Multivariate Distributions Book PDF Summary
Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. The conditions for such inequalities range from very specific to very general. Comprised of eight chapters, this volume begins by presenting a classification of probability inequalities, followed by a discussion on inequalities for multivariate normal distribution as well as their dependence on correlation coefficients. The reader is then introduced to inequalities for other well-known distributions, including the multivariate distributions of t, chi-square, and F; inequalities for a class of symmetric unimodal distributions and for a certain class of random variables that are positively dependent by association or by mixture; and inequalities obtainable through the mathematical tool of majorization and weak majorization. The book also describes some distribution-free inequalities before concluding with an overview of their applications in simultaneous confidence regions, hypothesis testing, multiple decision problems, and reliability and life testing. This monograph is intended for mathematicians, statisticians, students, and those who are primarily interested in inequalities.
Detail Book of Probability Inequalities in Multivariate Distributions PDF
- Author : Y. L. Tong
- Release : 10 July 2014
- Publisher : Academic Press
- ISBN : 9781483269214
- Genre : Mathematics
- Total Page : 256 pages
- Language : English
- PDF File Size : 15,9 Mb
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