Search

Your search keyword '"Li, Dou"' showing total 2 results
Start Over Author "Li, Dou" Journal acta mathematica sinica
2 results on '"Li, Dou"'

1. Limit Theorems for Critical Galton-Watson Processes with Immigration Stopped at Zero.

Author

Li, Dou Dou, Zhang, Mei, and Zhang, Xian Yu

Subjects
*LIMIT theorems, *BRANCHING processes, *EMIGRATION & immigration, *GENERATING functions, *PROBABILITY theory
Abstract

In this paper, we consider a critical Galton–Watson branching process with immigration stopped at zero W. Some precise estimation on the probability generating function of the n-th population are obtained, and the tail probability of the life period of W is studied. Based on above results, two conditional limit theorems for W are established. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

2. Asymptotic Behaviors for Critical Branching Processes with Immigration.

Author

Li, Dou Dou and Zhang, Mei

Subjects
*BRANCHING processes, *LARGE deviations (Mathematics), *GENERATING functions, *EMIGRATION & immigration, *BEHAVIOR, *PROBABILITY theory, *DEVIATION (Statistics)
Abstract

In this paper, we investigate the asymptotic behaviors of the critical branching process with immigration {Zn, n ≥ 0}. First we get some estimation for the probability generating function of Zn. Based on it, we get a large deviation for Zn+1/Zn. Lower and upper deviations for Zn are also studied. As a by-product, an upper deviation for max1≤i≤nZi is obtained. [ABSTRACT FROM AUTHOR]

Published
2019
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results