On a method of proving limit theorems for branching processes with immigration

被引:0
|
作者
Asadullin, MH
机构
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Previously, S. V. Nagaev and the author obtained a result concerning a scheme of summation of a random number of independent random variables and suggested a new method of proving limit theorems for branching processes with immigration. This method provides a possibility of obtaining asymptotic results on branching processes with immigration from the corresponding results for the branching processes without immigration. In this paper we consider in detail the supercritical and subcritical cases which were not yet considered.
引用
收藏
页码:103 / 109
页数:7
相关论文
共 50 条
  • [21] Limit theorems for flows of branching processes
    Hui He
    Rugang Ma
    Frontiers of Mathematics in China, 2014, 9 : 63 - 79
  • [22] LIMIT THEOREMS FOR POISSON BRANCHING PROCESSES
    UCHIYAMA, K
    PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (07): : 510 - 515
  • [23] Limit theorems for flows of branching processes
    He, Hui
    Ma, Rugang
    FRONTIERS OF MATHEMATICS IN CHINA, 2014, 9 (01) : 63 - 79
  • [24] Limit theorems for subcritical age-dependent branching processes with two types of immigration
    Alsmeyer, G
    Slavtchova-Bojkova, M
    STOCHASTIC MODELS, 2005, 21 (01) : 133 - 147
  • [25] LIMIT THEOREMS FOR SUBCRITICAL MARKOV BRANCHING PROCESSES WITH NON-HOMOGENEOUS POISSON IMMIGRATION
    Hyrien, Ollivier
    Mitov, Kosto V.
    Yanev, Nikolay M.
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2015, 68 (03): : 313 - 320
  • [26] LIMIT THEOREMS FOR SUPERCRITICAL MARKOV BRANCHING PROCESSES WITH NON-HOMOGENEOUS POISSON IMMIGRATION
    Hyrien, Ollivier
    Mitov, Kosto V.
    Yanev, Nikolay M.
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2013, 66 (04): : 485 - 492
  • [27] Fluctuation limit theorems of immigration superprocesses with small branching
    Li, ZH
    Zhang, M
    STATISTICS & PROBABILITY LETTERS, 2006, 76 (04) : 401 - 411
  • [28] Functional limit theorems for critical processes with immigration
    Rahimov, I.
    ADVANCES IN APPLIED PROBABILITY, 2007, 39 (04) : 1054 - 1069
  • [29] SOME LIMIT THEOREMS FOR REGULATIVE BRANCHING PROCESSES
    Khusanbaev, Y. M.
    THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2009, 81 : 46 - 52
  • [30] Almost critical branching processes and limit theorems
    Ya. M. Khusanbaev
    Ukrainian Mathematical Journal, 2009, 61 : 154 - 163