Ordering Results on Largest Order Statistics from Multiple-Outlier Gamma Variables

作     者：Yiying Zhang Yanni Hu Peng Zhao 

作者机构：School of Statistics and Data ScienceLPMC and KLMDASRNankai UniversityTianjin 300071People’s Republic of China SpeakIn Technologies Co.Ltd.Shanghai 200000People’s Republic of China School of Mathematics and Statistics and RIMSJiangsu Provincial Key Laboratory of Educational Big Data Science and EngineeringJiangsu Normal UniversityXuzhou 221116People’s Republic of China 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2023年第11卷第2期

页      面：257-282页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the financial support from the start-up grant at Nankai University the Fundamental Research Funds for the Central Universities,Nankai University(No.63201159,No.63211091) 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 

主　　题：Gamma distribution Stochastic orders Largest order statistics Majorization p-Larger order 

摘      要：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 *** 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 *** results established here strengthen and generalize some known ones in the literature.