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:: Volume 4, Issue 2 (3-2008) ::
JSRI 2008, 4(2): 191-202 Back to browse issues page
Some Results Based on Entropy Properties of Progressive Type-II Censored Data
Jafar Ahmadi *
, ahmadi-j@um.ac.ir
Abstract:   (1653 Views)

In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units. One of the most common censoring schemes is progressive type-II censoring. The aim of this paper is characterizing the parent distributions based on Shannon entropy of progressive type-II censored order statistics. It is shown that the equality of the Shannon information in progressive type-II censored order statistics can determine the parent distribution uniquely. We establish some characterization through the difference of Shannon entropy of the parent distribution and respective progressive type-II censored order statistics. We also prove that the dispersive ordering of the parent distributions implies the entropy ordering of their respective progressive type-II censored order statistics.

  

Keywords: Exponential distribution, Müntz-Szász theorem, order statistics, reliability properties, stochastic orders, Weibull distribution, Pareto distribution.
Full-Text [PDF 1603 kb]   (346 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/02/20 | Accepted: 2016/02/20 | Published: 2016/02/20
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Ahmadi J. Some Results Based on Entropy Properties of Progressive Type-II Censored Data. JSRI. 2008; 4 (2) :191-202
URL: http://jsri.srtc.ac.ir/article-1-171-en.html


Volume 4, Issue 2 (3-2008) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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