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Sharp Inequalities for Ordered Random Variables in Statistics and Reliability

Name: Sharp Inequalities for Ordered Random Variables in Statistics and Reliability
Brand: Springer, Berlin
SKU: 45785744
Price: 195.13 EUR
Availability: InStock
Author: Narayanaswamy Balakrishnan
ISBN: 9783031613463

Volume I: Standard Order Statistics

Narayanaswamy Balakrishnan

Tomasz Rychlik

Език

Английски език

Книга С твърди корици

Код Либристо: 45785744

Издателство Springer, Berlin, юли 2024

The book discusses various inequalities and sharp bounds for the usual order statistics as well as s... Цялото описание

Код Либристо: 45785744

472 b

195.13 €

381.65 лв

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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.