PROJECTION METHOD FOR MOMENT BOUNDS ON ORDER-STATISTICS FROM RESTRICTED FAMILIES II - INDEPENDENT CASE

Authors
GAJEK L RYCHLIK T
Citation
L. Gajek et T. Rychlik, PROJECTION METHOD FOR MOMENT BOUNDS ON ORDER-STATISTICS FROM RESTRICTED FAMILIES II - INDEPENDENT CASE, Journal of Multivariate Analysis, 64(2), 1998, pp. 156-182
Citations number
20
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Multivariate Analysis → ACNP
ISSN journal
0047259X
Volume
64
Issue
2
Year of publication
1998
Pages
156 - 182
Database
ISI
SICI code
0047-259X(1998)64:2<156:PMFMBO>2.0.ZU;2-E
Abstract
The method of projection, proposed in Part I, is applied to derive sha rp moment bounds for the expectations of order statistics based on ind ependent samples From restricted families of distributions. Three fami lies are considered: lire distributions with decreasing failure densit y, decreasing failure rate, and symmetric unimodal ones. The respectiv e bounds are also numerically compared with those for general populati ons in both the dependent and independent cases. (C) 1998 Academic Pre ss.