随机环境中马氏链的首达分布矩

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 51-55.

随机环境中马氏链的首达分布矩

1. School of Economics and Management, Southeast University2. Department of Mathematics, Anhui Normal University

收稿日期:2007-11-08 出版日期:2011-03-30 发布日期:2023-05-10
作者简介:LI Shou-wei(1984- ), male, native of Bengbu, Anhui, Ph.D., engages in markov chains in random environments.
基金资助:

Supported by NSF of Anhui Province(KJ2007A102)；

The Moments of First Entrance Time Distributions of Markov Chains in Random Environments

1. School of Economics and Management, Southeast University2. Department of Mathematics, Anhui Normal University

Received:2007-11-08 Online:2011-03-30 Published:2023-05-10
About author:LI Shou-wei(1984- ), male, native of Bengbu, Anhui, Ph.D., engages in markov chains in random environments.
Supported by:
Supported by NSF of Anhui Province(KJ2007A102)；

摘要/Abstract

摘要： After defining generating functions, this paper discusses their properties, and then provides a sufficient and necessary condition for a finite property of the moments of first entrance time distributions of Markov chains in random environments by generating functions. Finally, the paper obtains relevant conclusions of the moments of first entrance time distributions.

关键词: random environments, taboo set, generating functions

Abstract: After defining generating functions, this paper discusses their properties, and then provides a suffcient and necessary condition for a finite property of the moments of first entrance time distributions of Markov chains in random environments by generating functions. Finally, the paper obtains relevant conclusions of the moments of first entrance time distributions.

Key words: random environments, taboo set, generating functions

中图分类号:

O211.62

李守伟, 祝东进. 随机环境中马氏链的首达分布矩[J]. 数学季刊, 2011, 26(1): 51-55.

LI Shou-wei, ZHU Dong-jin. The Moments of First Entrance Time Distributions of Markov Chains in Random Environments [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 51-55.