期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2017
卷号：16
期号：3
页码：308-323
DOI：10.2991/jsta.2017.16.3.3
语种：English
出版社：Atlantis Press
摘要：Generalized order statistics unify the study of order statistics, record values, k-records, Pfeifer’s records and several other cases of ordered random variables. In this paper, we first provide several comparison results for generalized order statistics in terms of the dynamic cumulative residual quantile entropy order. We also prove that when the minimum of random vectors of generalized order statistics is increasing mean residual life (IMRL), the spacings of generalized order statistics are ordered by variance, and the covariance between successive spacings is nonnegative. The normalized spacings of generalized order statistics from two sample sequences are also compared with respect to the mean residual life and the excess wealth orders.
关键词：Generalized order statistics; Mean residual life order; Excess wealth order; Dynamic cumulative residual quantile entropy order; DFR; IFR; DMRL; IMRL.
