单生过程的一些基本理论  

Some Basic Theory of Single Birth Processes

作　　者：王婧 闫艳艳 张余辉[2] WANG Jing;YAN Yanyan;ZHANG Yuhui(School of Mathematics and Statistics,Yili Normal University,Yili,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,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：《应用概率统计》2022年第3期413-438,共26页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金项目(批准号:11771047、11871008);国家重点研发计划项目(课题编号:2020YFA0712901);新疆维吾尔自治区自然科学基金项目(批准号:2018D01C007)资助.

摘　　要：本文作为文章[1]的补充,综述了单生过程的一些基本理论,包括单生过程一些数字特征的概率意义,积分型泛函的分布和矩,停留时和首达时以及末离时的分布等等.In this summary report, we introduce some basic theory of single birth processes as the supplement of [1], including the probabilistic meaning of some numerical characteristics, the distributions and moments of the integral-type functional of single birth processes, as well as the distributions of the staying times, the first hitting time and the last exit times etc.

关 键 词：单生过程 积分型泛函 停留时 首达时 末离时 

分 类 号：O211.62[理学—概率论与数理统计]