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portada Stochastic Comparisons with Applications: In Order Statistics and Spacings
Type
Physical Book
Author
Publisher
Language
English
Pages
272
Format
Paperback
Dimensions
23.4x15.6x1.5 cm
Weight
0.41 kg.
ISBN13
9783031121067
Categories

Stochastic Comparisons with Applications: In Order Statistics and Spacings

Subhash C. Kochar (Author) · Springer · Paperback

Stochastic Comparisons with Applications: In Order Statistics and Spacings - Kochar, Subhash C.

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Synopsis "Stochastic Comparisons with Applications: In Order Statistics and Spacings"

This book emphasizes the use of stochastic orders as motivational tools for developing new statistical procedures. Stochastic orders have found useful applications in many disciplines, including reliability theory, survival analysis, risk theory, finance, nonparametric methods, economics and actuarial science. Written by a statistician, this volume clarifies the connection between stochastic orders and nonparametric methods.The importance of order statistics and spacings is well recognized. Classically, they mainly focus on the case when the observations are independent and identically distributed, however, several new developments have extended the comparison of order statistics to the case of non-identically distributed or non-independent observations. In addition to giving a detailed discussion of various topics in the general area of stochastic orders, a substantial part of the book is devoted to recent research on stochastic comparisons of order statistics and spacings, including a long chapter on dependence among them. The book will be useful for graduate students and researchers in statistics, economics, actuarial science and other related disciplines. In particular, with close to 300 references, it will be a valuable resource for reliability theorists, applied probabilists and statisticians. Readers are expected to have taken a first-year graduate level course in mathematical statistics or in applied probability.

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