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:: Volume 16, Issue 1 (9-2019) ::
JSRI 2019, 16(1): 101-120 Back to browse issues page
New Results on Stochastic Comparison of Series and Parallel Systems Comprising Heterogeneous Generalized Modified Weibull Components
Esmaeil Bashkar
, e.bashkar@velayat.ac.ir
Abstract:   (929 Views)

In this work, we study various stochastic orderings of the smallest and largest order statistics arising from independent heterogeneous generalized modified Weibull (GMW) random variables. We also conduct stochastic comparison on the extreme order statistics from GMW samples with Archimedean copulas. The results established in this paper strengthen and generalize those known in the Balakrishnan et al. (2018).
 
Keywords: Majorization, order statistics, series and parallel systems, stochastic orders, generalized modified Weibull distribution.
Full-Text [PDF 2308 kb]   (369 Downloads)    
Type of Study: Research | Subject: General
Received: 2020/03/25 | Accepted: 2020/10/30 | Published: 2019/09/19
References
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Bashkar E. New Results on Stochastic Comparison of Series and Parallel Systems Comprising Heterogeneous Generalized Modified Weibull Components. JSRI 2019; 16 (1) :101-120
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Volume 16, Issue 1 (9-2019) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران Journal of Statistical Research of Iran JSRI
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