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Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics (Springer Series in Statistics)

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Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics (Springer Series in Statistics) Cover

 

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Publisher Comments:

This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) which are relevant for statistical theory and its applications. Particular emphasis is placed on results concerning the accuracy of limit theorems, on higher order approximations and other approximations in quite a general sense. Contrary to the classical limit theorems, that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approximating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. This book is intended for students and research workers in probability and statistics, and practitioners involved in applications of mathematical results conderning order statistics and extremes. The knowledge of calculus and topics that are taught in introductory probability and statistic courses are necessary for the understanding of this book.

Table of Contents

Contents: Introduction.- Exact Distributions and Basic Tools.- Asymptotic Theory.- Statistical Models and Procedures.- Appendix.- Bibliography.- Author Index.- Subject Index.

Product Details

ISBN:
9781461396222
Author:
Reiss, Rolf-dieter
Publisher:
Springer
Author:
Reiss, Rolf-Dieter
Subject:
Mathematics | Probability and Statistics
Subject:
Statistics
Subject:
Statistics/General
Subject:
Applied
Subject:
APPLICATIONS OF MATHEMATICS
Edition Description:
Softcover reprint of the original 1st ed. 1989
Series:
Springer Series in Statistics
Publication Date:
20111231
Binding:
TRADE PAPER
Language:
English
Pages:
367
Dimensions:
235 x 155 mm 562 gr

Related Subjects

Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics (Springer Series in Statistics) New Trade Paper
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