Sharp Inequalities for Ordered Random Variables in Statistics and Reliability Volume I

Free Download Sharp Inequalities for Ordered Random Variables in Statistics and Reliability:
Volume I: Standard Order Statistics
English | 2024 | ISBN: 3031613465 | 686 Pages | PDF EPUB (True) | 75 MB

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.