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A01=Narayanaswamy Balakrishnan
A01=Tomasz Rychlik
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Author_Narayanaswamy Balakrishnan
Author_Tomasz Rychlik
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Category1=Non-Fiction
Category=PBT
COP=Switzerland
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Language_English
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Sharp Inequalities for Ordered Random Variables in Statistics and Reliability: Volume I: Standard Order Statistics

The book discusses various inequalities and sharp bounds for the usual order statistics as well as some functions of them.  In particular, deterministic bounds, bounds for the case of IID samples from general, symmetric and life distributions, IID samples from shape restricted family of distributions, and samples from finite populations are all discussed in detail.  An elaborate numerical evaluation and comparison of various bounds are also presented in order to illustrate their inherent differences as well as their precision.  Furthermore, their applications to inference, reliability theory and characterizations are also highlighted. 

The book provides an in-depth exposure to various mathematical inequalities and bounds established historically as well as in recent years and their applications to order statistics and some important functions of them.  It thus presents an up-to-date discussion of all results in this important area of mathematical and statistical research.  The results described here are general in nature and therefore could be useful in other areas of Probability and Statistics as well.

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A01=Narayanaswamy BalakrishnanA01=Tomasz RychlikAge Group_UncategorizedAuthor_Narayanaswamy BalakrishnanAuthor_Tomasz Rychlikautomatic-updateCategory1=Non-FictionCategory=PBTCOP=SwitzerlandDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€100 and abovePS=Activesoftlaunch

Will deliver when available. Publication date 17 Oct 2024

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 26 Sep 2024
  • Publisher: Springer International Publishing AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031613463

About Narayanaswamy BalakrishnanTomasz Rychlik

Professor N. Balakrishnan is a Distinguished University Professor in the Department of Mathematics and Statistics at McMaster University Hamilton Canada.  He is a Fellow of the Royal Society of Canada a Fellow of the American Statistical Association a Fellow of the Institute of Mathematical Statistics and a recipient of an honorary doctoral degree from the National and Kapodistrian University of Athens Greece. He is an author of many well-known books and research monographs in Statistics including the well-known four encyclopedic volumes on Statistical Distributions published by John Wiley & Sons.  He is currently the Editor-in-Chief of three series of Communications in Statistics as well as Mathematical Methods of Statistics. Professor Tomasz Rychlik received the M.Sc. Degree in applied mathematics at the Faculty of Applied Mathematics and Technical Physics of the Technical University of Warsaw Poland in 1982. He defended his PhD thesis on robust statistics at the Institute of Mathematics Polish Academy of Sciences in 1986. Now he is Professor of Mathematics at the Institute of Mathematics Polish Academy of Sciences. His research interests contain probabilistic inequalities reliability theory and stochastic orders. He has published over 120 papers. Most of them were devoted to inequalities for ordered random variables.

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