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Projection Method for Moment Bounds on Order Statistics from Restricted Families: II. Independent Case

✍ Scribed by Lesław Gajek; Tomasz Rychlik


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
343 KB
Volume
64
Category
Article
ISSN
0047-259X

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✦ Synopsis


The method of projection, proposed in Part I, is applied to derive sharp moment bounds for the expectations of order statistics based on independent samples from restricted families of distributions. Three families are considered: life distributions with decreasing failure density, decreasing failure rate, and symmetric unimodal ones. The respective bounds are also numerically compared with those for general populations in both the dependent and independent cases.