This paper considers the multiple-outlier Weibull model, and derives some sui-ficlent conal- tions for the comparison of lifetimes of series systems with respect to dispersive order. In these models, order statistic i...This paper considers the multiple-outlier Weibull model, and derives some sui-ficlent conal- tions for the comparison of lifetimes of series systems with respect to dispersive order. In these models, order statistic is closed under minima, so convex transform, star and Lorenz orders are not investigated because they are scale variant. The results established here strengthen some of the results presented by Fang and Tang （2014）.展开更多
In this paper,we consider Marshall and Olkin’s family of distributions.The parent(baseline)distribution is taken to be a scaled family of distributions.Two models:(i)modified proportional hazard rate scale and(ii)mod...In this paper,we consider Marshall and Olkin’s family of distributions.The parent(baseline)distribution is taken to be a scaled family of distributions.Two models:(i)modified proportional hazard rate scale and(ii)modified proportional reversed hazard rate scale,are considered.Some stochastic comparison results in terms of the usual stochastic,hazard rate and reversed hazard rate orders are studied to compare order statistics formed from two sets of independent observations following these models.Most of the sufficient conditions are obtained depending on various majorizationtype partial orderings.Further,the setup with multiple-outlier model is taken.Various stochastic orders between the smallest and largest order statistics are developed.Several numerical examples are provided to illustrate the effectiveness of the established theoretical results.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11201003)the Provincial Natural Science Research Project of Anhui Colleges(Grant No.KJ2016A263)+1 种基金the Natural Science Foundation of Anhui Province(Grant No.1408085MA07)the PhD Research Startup Foundation of Anhui Normal University(Grant No.2014bsqdjj34)
基金supported by the Provincial Natural Science Research Project of Anhui Colleges under Grant No.KJ2016A263the National Natural Science Foundation of Anhui Province under Grant Nos.1408085MA07,1608085J07the Ph D Research Startup Foundation of Anhui Normal University under Grant No.2014bsqdjj34
文摘This paper considers the multiple-outlier Weibull model, and derives some sui-ficlent conal- tions for the comparison of lifetimes of series systems with respect to dispersive order. In these models, order statistic is closed under minima, so convex transform, star and Lorenz orders are not investigated because they are scale variant. The results established here strengthen some of the results presented by Fang and Tang （2014）.
基金Suchandan Kayal gratefully acknowledges the partial financial support for this research work under a grant MTR/2018/000350 SERB,India.
文摘In this paper,we consider Marshall and Olkin’s family of distributions.The parent(baseline)distribution is taken to be a scaled family of distributions.Two models:(i)modified proportional hazard rate scale and(ii)modified proportional reversed hazard rate scale,are considered.Some stochastic comparison results in terms of the usual stochastic,hazard rate and reversed hazard rate orders are studied to compare order statistics formed from two sets of independent observations following these models.Most of the sufficient conditions are obtained depending on various majorizationtype partial orderings.Further,the setup with multiple-outlier model is taken.Various stochastic orders between the smallest and largest order statistics are developed.Several numerical examples are provided to illustrate the effectiveness of the established theoretical results.
