期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2014
卷号：13
期号：3
页码：224-236
DOI：10.2991/jsta.2014.13.3.4
语种：English
出版社：Atlantis Press
摘要：The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various characterizations have been established in many different directions. The present work deals with the characterizations of a general class of distributions. These characterizations are based on: (i) a simple relationship between two truncated moments, (ii) truncated moment of certain functions of the nth order statistic, (iii) single truncated moment of certain functions of the random variable and (iv) moments of dual generalized order statistics.We like to mention that the characterization (i) which is expressed in terms of the ratio of truncated moments is stable in the sense of weak convergence. We also study the recurrence relations between moments of dual generalized order statistics of this class of distributions.
关键词：Moments; Dual generalized order statistics; Recurrence relations; Characterizations of distributions
