吉首大学学报(自然科学版)2026,Vol.47Issue(3):26-29,4.DOI:10.13438/j.cnki.jdzk.2026.03.004
折叠椭球随机变量基于失效率序的随机比较
Stochastic Comparison of Folded Elliptical Random Variables Based on Hazard Rate Order
摘要
Abstract
The properties of the log-density ratio function are utilized to analyze the hazard rate order rela-tionship for general non-negative random variables under conditions weaker than the concave function.Then,by leveraging the properties of density generator functions,the influence of shape parameters on the magnitudes of the density functions of folded ellipsoidal random variables is analyzed.Furthermore,an equivalent characterization is provided for the stochastic comparison of hazard rate order for folded el-lipsoidal random variables under different density generator functions and conditions weaker than the concave function.关键词
折叠椭球分布族/失效率序/对数密度比函数/密度生成函数Key words
folded elliptical distribution family/hazard rate order/logarithmic density ratio function/den-sity generator function分类
数理科学引用本文复制引用
井照敬..折叠椭球随机变量基于失效率序的随机比较[J].吉首大学学报(自然科学版),2026,47(3):26-29,4.基金项目
安徽省社会科学创新发展研究项目(2022CX026) (2022CX026)