The Limit Theorems for Function of Markov Chains in the Environment of Single Infinite Markovian Systems
Joint Authors
Li, Zhanfeng
Huang, Min
Meng, Xiaohua
Ge, Xiangyu
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is intended to study the limit theorem of Markov chain function in the environment of single infinite Markovian systems.
Moreover, the problem of the strong law of large numbers in the infinite environment is presented by means of constructing martingale differential sequence for the measurement under some different sufficient conditions.
If the sequence of even functions gnx,n≥0 satisfies different conditions when the value ranges of x are different, we have obtained SLLN for function of Markov chain in the environment of single infinite Markovian systems.
In addition, the paper studies the strong convergence of the weighted sums of function for finite state Markov Chains in single infinitely Markovian environments.
Although the similar conclusions have been carried out, the difference results performed by previous scholars are that we give weaker different sufficient conditions of the strong convergence of weighted sums compared with the previous conclusions.
American Psychological Association (APA)
Li, Zhanfeng& Huang, Min& Meng, Xiaohua& Ge, Xiangyu. 2020. The Limit Theorems for Function of Markov Chains in the Environment of Single Infinite Markovian Systems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1200929
Modern Language Association (MLA)
Li, Zhanfeng…[et al.]. The Limit Theorems for Function of Markov Chains in the Environment of Single Infinite Markovian Systems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1200929
American Medical Association (AMA)
Li, Zhanfeng& Huang, Min& Meng, Xiaohua& Ge, Xiangyu. The Limit Theorems for Function of Markov Chains in the Environment of Single Infinite Markovian Systems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1200929
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200929