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Probability Inequalities For Certain Multivariate Distributions


Probability Inequalities For Certain Multivariate Distributions
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Probability Inequalities In Multivariate Distributions


Probability Inequalities In Multivariate Distributions
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Author : Y. L. Tong
language : en
Publisher: Academic Press
Release Date : 2014-07-10

Probability Inequalities In Multivariate Distributions written by Y. L. Tong and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.


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.



Probability Inequalities In Multivariate Distributions


Probability Inequalities In Multivariate Distributions
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Author : Yung Liang Tong
language : en
Publisher:
Release Date : 1980

Probability Inequalities In Multivariate Distributions written by Yung Liang Tong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.


Inequalities for multivariate normal distribution; Inequalities for other well-known distributions; Integral inequalities over a symmetric convex set; Inequalities via dependence association and mixture; Inequalities via majorization and weak majorization; Distribution-free inequalities; Some applications.



Probability Inequalities For Certain Multivariate Distributions


Probability Inequalities For Certain Multivariate Distributions
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Author : Thomas William Dobbins
language : en
Publisher:
Release Date : 1993

Probability Inequalities For Certain Multivariate Distributions written by Thomas William Dobbins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Multivariate analysis categories.




Bivariate Discrete Distributions


Bivariate Discrete Distributions
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Author : Kocherlakota
language : en
Publisher: Routledge
Release Date : 2017-11-22

Bivariate Discrete Distributions written by Kocherlakota and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.


This useful reference/text provides a comprehensive study of the various bivariate discretedistributions that have appeared in the literature- written in an accessible manner thatassumes no more than a first course in mathematical statistics.Supplying individualized treatment of topics while simultaneously exploiting the interrelationshipsof the material, Bivariate Discrete Distributions details the latest techniques ofcomputer simulation for the distributions considered ... contains a general introduction tothe structural properties of discrete distributions, including generating functions, momentrelationships, and the basic ideas of generalizing . . . develops distributions using samplingschemes . .. explores the role of compounding ... covers Waring and "short" distributionsfor use in accident theory ... discusses problems of statistical inference, emphasizing techniquespertinent to the discrete case ... and much more!Containing over 1000 helpful equations, Bivariate Discrete Distributions is



Encyclopedia Of Statistical Sciences Volume 3


Encyclopedia Of Statistical Sciences Volume 3
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Author :
language : en
Publisher: John Wiley & Sons
Release Date : 2005-12-16

Encyclopedia Of Statistical Sciences Volume 3 written by and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-16 with Mathematics categories.


Countless professionals and students who use statistics in their work rely on the multi-volume Encyclopedia of Statistical Sciences as a superior and unique source of information on statistical theory, methods, and applications. This new edition (available in both print and on-line versions) is designed to bring the encyclopedia in line with the latest topics and advances made in statistical science over the past decade—in areas such as computer-intensive statistical methodology, genetics, medicine, the environment, and other applications. Written by over 600 world-renowned experts (including the editors), the entries are self-contained and easily understood by readers with a limited statistical background. With the publication of this second edition in 16 printed volumes, the Encyclopedia of Statistical Sciences retains its position as a cutting-edge reference of choice for those working in statistics, biostatistics, quality control, economics, sociology, engineering, probability theory, computer science, biomedicine, psychology, and many other areas.



The Multivariate Normal Distribution


The Multivariate Normal Distribution
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Author : Y.L. Tong
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Multivariate Normal Distribution written by Y.L. Tong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


The multivariate normal distribution has played a predominant role in the historical development of statistical theory, and has made its appearance in various areas of applications. Although many of the results concerning the multivariate normal distribution are classical, there are important new results which have been reported recently in the literature but cannot be found in most books on multivariate analysis. These results are often obtained by showing that the multivariate normal density function belongs to certain large families of density functions. Thus, useful properties of such families immedi ately hold for the multivariate normal distribution. This book attempts to provide a comprehensive and coherent treatment of the classical and new results related to the multivariate normal distribution. The material is organized in a unified modern approach, and the main themes are dependence, probability inequalities, and their roles in theory and applica tions. Some general properties of a multivariate normal density function are discussed, and results that follow from these properties are reviewed exten sively. The coverage is, to some extent, a matter of taste and is not intended to be exhaustive, thus more attention is focused on a systematic presentation of results rather than on a complete listing of them.



Nbs Special Publication


Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1970

Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Weights and measures categories.




Handbook Of Semidefinite Programming


Handbook Of Semidefinite Programming
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Author : Henry Wolkowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Handbook Of Semidefinite Programming written by Henry Wolkowicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


Semidefinite programming (SDP) is one of the most exciting and active research areas in optimization. It has and continues to attract researchers with very diverse backgrounds, including experts in convex programming, linear algebra, numerical optimization, combinatorial optimization, control theory, and statistics. This tremendous research activity has been prompted by the discovery of important applications in combinatorial optimization and control theory, the development of efficient interior-point algorithms for solving SDP problems, and the depth and elegance of the underlying optimization theory. The Handbook of Semidefinite Programming offers an advanced and broad overview of the current state of the field. It contains nineteen chapters written by the leading experts on the subject. The chapters are organized in three parts: Theory, Algorithms, and Applications and Extensions.



Inequalities In Statistics And Probability


Inequalities In Statistics And Probability
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Author : Yung Liang Tong
language : en
Publisher: IMS
Release Date : 1984

Inequalities In Statistics And Probability written by Yung Liang Tong and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.




Multivariate Analysis And Its Applications


Multivariate Analysis And Its Applications
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Author : Theodore Wilbur Anderson
language : en
Publisher: IMS
Release Date : 1994

Multivariate Analysis And Its Applications written by Theodore Wilbur Anderson and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.