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:: Volume 6, Issue 2 (2-2013) ::
JSS 2013, 6(2): 135-150 Back to browse issues page
Stochastic Comparisons Between Sample Spacings of Order Statistics from Independent Exponential Random Variables
Ghobad Barmalzan * , Abedin Haidari , Maryam Abdollahzade
Abstract:   (17349 Views)
Suppose there are two groups of independent exponential random variables, where the first group has different hazard rates and the second group has common hazard rate. In this paper, the various stochastic orderings between their sample spacings have studied and introduced some necessary and sufficient conditions to equivalence of these stochastic ordering. Also, for the special case of sample size two, it is shown that the hazard rate function of the second sample spacing is Shcur-concave in the inverse vector of parameters.
Keywords: Sample spacings, Exponential distribution, Hazard rate order, Mean residual life order, Increasing convex order, Majorization.
Full-Text [PDF 451 kb]   (2982 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2013/01/20 | Accepted: 2013/11/3 | Published: 2013/11/3
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Barmalzan G, Haidari A, Abdollahzade M. Stochastic Comparisons Between Sample Spacings of Order Statistics from Independent Exponential Random Variables. JSS 2013; 6 (2) :135-150
URL: http://jss.irstat.ir/article-1-179-en.html


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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 6, Issue 2 (2-2013) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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