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.
作者
王婧
闫艳艳
张余辉
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)
出处
《应用概率统计》
CSCD
北大核心
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.
关键词
单生过程
积分型泛函
停留时
首达时
末离时
single birth process
integral-type functional
first hitting time
staying time
last exit time
