单生过程积分型泛函的矩和分布  

Moments and distributions of integral-type functional for single birth processes

作　　者：王婧 张余辉[2] WANG Jing;ZHANG Yuhui(School of Mathematics and Statistics,Yili Normal University,Yili,Xinjiang 835000,China;School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊犁835000 [2]北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,北京100875

出　　处：《北京师范大学学报（自然科学版）》2020年第4期493-499,共7页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11571043,11771047,11871008)。

摘　　要：给出了单生过程积分型泛函的矩和分布Laplace变换的显式递推表示.In this paper,explicit and recursive representations are obtained on moment and Laplace transformation of distribution of integral-type functional for single-birth processes respectively.

关 键 词：单生过程 积分型泛函 矩 LAPLACE变换 

分 类 号：O211.62[理学—概率论与数理统计]