In this article,we carry out stochastic comparisons on the maximum order statistics arising from two batches of multiple-outlier gamma random variables with different shape and scale parameters.It is proved that,under...In this article,we carry out stochastic comparisons on the maximum order statistics arising from two batches of multiple-outlier gamma random variables with different shape and scale parameters.It is proved that,under certain conditions,the majorization order between the vectors of shape parameters together with the weak majorization order[p-larger order]between the vectors of scale parameters implies the likelihood ratio order[hazard rate order]between the largest order statistics.The results established here strengthen and generalize some known ones in the literature.展开更多
基金the financial support from the start-up grant at Nankai Universitythe Fundamental Research Funds for the Central Universities,Nankai University(No.63201159,No.63211091)+2 种基金the financial support from the Natural Science Foundation of Tianjin(No.20JCQNJC01740)the support from National Natural Science Foundation of China(11871252)A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
文摘In this article,we carry out stochastic comparisons on the maximum order statistics arising from two batches of multiple-outlier gamma random variables with different shape and scale parameters.It is proved that,under certain conditions,the majorization order between the vectors of shape parameters together with the weak majorization order[p-larger order]between the vectors of scale parameters implies the likelihood ratio order[hazard rate order]between the largest order statistics.The results established here strengthen and generalize some known ones in the literature.
