Recent Developments in Ordered Random Variables

By: Mohammad Ahsanullah (Editor), Mohammad Z Raqab (Editor)

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Hardcover | 1 December 2005

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336 Pages

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The ordered random variables play important roles in the theory and practice of statistics. They possess significant statistical properties. Over the last few decades, many articles on various topics of ordered statistical data have appeared. Our handbook comprises twenty one chapters discussing various topics on theory and applications. The editors of this book worked together several articles on order and record statistics, which covered the subjects of distributional properties, characterisations and statistical inferences. It was a special interest to co-ordinate and edit an interesting research problem based on material contributed by several prominent researchers from all over the world. This book presents new developments in the subject of ordered random variables. These aspects involve theory of ordered random variables, reliability theory, stochastic ordering, bounds, characterisations, and estimation and prediction techniques.

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Optimal deterministic bounds on L-statistics	p. 1
On sharp upper bounds for expectations of kTH record increments from restricted families	p. 19
On Rychlik's expectation bound for L-estimates based on identically distributed variates	p. 39
Maximal correlation between order statistics	p. 55
Characterizations of distributions by equalities of order statistics	p. 69
Records from discrete distributions	p. 77
Advances in exceedance statistics based on ordered random variables	p. 97
Stochastic ordering of record and inter-record values	p. 119
Stochastic and dependence properties of generalized order statistics	p. 139
Progress on sums of records	p. 155
Ties for the second place	p. 171
Some characterizations of geometric distribution by weak	p. 187
Nonparametric distribution-free test procedures for order restricted alternatives	p. 197
The mean residual lifetime and mean past lifetime of k-out-of-n structures at the system level	p. 215
The generalized order statistics from exponential distribution	p. 229
Exponential distribution records : different methods of prediction	p. 239
Linear estimation of location and scale parameters based on generalized order statistics from generalized pareto distributions	p. 253
Estimation of the parameters of Weibull distribution based on order statistics	p. 263
Orderings, prediction and recurrence relations	p. 289
Bayesian estimation and prediction for the 3-parameter generalized exponential model	p. 321
Table of Contents provided by Blackwell. All Rights Reserved.

Recent Developments in Ordered Random Variables

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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