Limiting distribution for subcritical controlled branching processes with random control function

被引:10
作者
González, M [1 ]
Molina, M [1 ]
del Puerto, I [1 ]
机构
[1] Univ Extremadura, Fac Sci, Dept Math, E-06071 Badajoz, Spain
关键词
controlled branching processes; subcritical branching processes; probability generating functions; limiting distribution;
D O I
10.1016/j.spl.2003.12.009
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper concerns the controlled branching process with random control function introduced by Yanev (Theor. Prob. Appl. 20 (1976) 421). Some relationships between its probability generating functions are established and the convergence in distribution of the population size to a nondegenerate and finite random variable is investigated. 2004 Elsevier B.V. All rights reserved.
引用
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页码:277 / 284
页数:8
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