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  • 标题:A branching process with immigration and emigration
  • 作者:S. C. Gupta ; Om Prakash Srivastava
  • 期刊名称:Statistica
  • 印刷版ISSN:1973-2201
  • 出版年度:1992
  • 卷号:52
  • 期号:4
  • 页码:521-528
  • DOI:10.6092/issn.1973-2201/920
  • 语种:English
  • 出版社:Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
  • 摘要:Seneta (1968) gave a sufficient condition for a limiting stationary distribution by allowing immigration in a critical branching process. However, if the emigration is also going on simultaneously, then instability in the population structure is bound to occur. In this paper, the effect: of emigration along with immigration has been considered in a subcritical case. The conditions of equilibrium for the process have been obtained. Furthermore,t he expressions for the variance have been derived.
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