|
|||||
|
|
Asymptotic Properties of the Markov Branching Process with Immigration |
|
| Authors: | Junping Li Anyue Chen Anthony G Pakes |
| Institution: | 1. School of Mathematical Science and Computing Technology, Central South University, Changsha, 410075, China 2. Department of Mathematical Sciences, The University of Liverpool, Liverpool, L69 7ZL, UK 3. Department of Mathematics, Xi??an Jiaotong-Liverpool University, Suzhou, 215123, China 4. School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia |
| Abstract: | We consider the Markov branching process with immigration allowing the possibility of infinite numbers of offspring and/or immigrants. Our focus is on the construction and uniqueness of the minimal transition function and on its asymptotic behavior. Conditional limit theorems for the population size are given in cases for which the transition function is dishonest. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |