Progressively Type-II right censored order statistics from discrete distributions

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• 作者：N. Balakrishnan ; Anna Dembiń ; ska
• 关键词：Progressively Type-II right censored order statistics ; Exact distribution theory ; Discrete distributions ; Geometric distribution ; Characterization ; Non-Markovian property
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2008
• 出版时间：1 April 2008
• 年：2008
• 卷：138
• 期：4
• 页码：845-856
• 全文大小：190 K

文摘

Progressively Type-II right censored order statistics from continuous distributions have been studied rather extensively in the literature; see Balakrishnan and Aggarwala [2000. Progressive Censoring: Theory, Methods and Applications. Birkhäuser, Boston]. In this paper, we derive the joint and marginal distributions of progressively Type-II right censored order statistics from discrete distributions. We then use these distributions to show the non-Markovian property as well as to discuss some properties in the special case of the geometric distribution.