两对数伽玛分布之间的相对熵及渐近性  

The Relative Entropy and Aymptotic Property between Two Logarithmic Gamma Distributions

作　　者：朱成莲[1] ZHU Chenglian(School of Mathematics and Statistics,Huaiyin Normal University,Huai'an Jiangsu 223300,China)

机构地区：[1]淮阴师范学院数学与统计学院,江苏淮安223300

出　　处：《淮阴师范学院学报（自然科学版）》2024年第4期283-287,共5页Journal of Huaiyin Teachers College(Natural Science Edition)

摘　　要：研究了两对数伽玛分布之间的相对熵,得到了两对数伽玛分布之间相对熵、最大相对熵与平均相对熵,并讨论了它们的渐近性,推导出两负幂分布之间的相对熵、最大相对熵与平均相对熵及其渐近性.The relative entropy between two different logarithmic gamma distributions is discussed and the relative entropy,maximum relative entropy and average relative entropy between two different logarithmic gamma distributions are obtained.The relative entropy,maximum relative entropy,average relative entropy and their asymptotic properties between two different negative power distributions are derived.

关 键 词：对数伽玛分布 相对熵 渐近性 

分 类 号：O211.1[理学—概率论与数理统计]