On the Skewness of Order Statistics with Applications

摘要：

Order statistics from heterogenous samples have been extensively studied in the literature. However, most of the work focused on the effect of heterogeneity on the magnitude and dispersion of order statistics. In this paper, we study the skewness of order statistics from heterogeneous samples in the sense of star order. The main results extended the results in Kochar and Xu (2009, 2011). Examples and applications in statistical inference are highlighted.

关键词： exponential distribution isotonic estimation k-out-of-n system skewness star order

作者: Subhash Kochar Maochao Xu

作者单位: Department of Mathematics and Statistics , Portland State University, Portland, OR, USA Department of Mathematics , Illinois State University, Normal, IL, USA

会议类型: 国际会议

会议名称: The 7th Inyernational Conference on Mathematical Methods in Reliability:Theory,Methods,Applications(第七届国际可靠性数学、理论、方法与应用会议 MMR2011)

会议地点: 北京

会议语种:英文

页码: 262-271

在线出版日期: 2011-06-20（万方平台首次上网日期，不代表论文的发表时间）