Abstract
<abstract>
<p>In this paper, we carry out stochastic comparisons of lifetimes of series and parallel systems with dependent heterogeneous Topp-Leone generated components. The usual stochastic order and the reversed hazard rate order are developed for the parallel systems with the help of vector majorization under Archimedean copula dependence, and the results for the usual stochastic order are also obtained for the series systems. Finally, some numerical examples are provided to illustrate the effectiveness of our theoretical findings.</p>
</abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference32 articles.
1. N. Balakrishnan, C. R. Rao, Order statistics: applications, Elsevier Science, 1998.
2. B. Khaledi, S. C. Kochar, Some new results on stochastic comparisons of parallel systems, J. Appl. Probab., 37 (2000), 1123–1128.
3. P. Zhao, N. Balakrishnan, New results on comparisons of parallel systems with heterogeneous gamma components, Stat. Probab. Lett., 81 (2011), 36–44.
4. L. X. Fang, X. S. Zhang, New results on stochastic comparison of order statistics from heterogeneous Weibull populations, J. Korean Stat. Soc., 41 (2012), 13–16.
5. E. Barlow, F. Proschan, Statistical theory of reliability and life testing: probability models, Holt, Rinehart & Winston of Canada Ltd, 1975.
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献