A branching process with immigration and emigration

S. C. Gupta; Om Prakash Srivastava

doi:10.6092/issn.1973-2201/920

A branching process with immigration and emigration

Authors

S. C. Gupta Haryana Agricultural University, Hisar
Department of Mathematics and Statistics
Om Prakash Srivastava Haryana Agricultural University, Hisar
Department of Mathematics and Statistics

DOI:

https://doi.org/10.6092/issn.1973-2201/920

Abstract

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.

How to Cite

Gupta, S. C., & Srivastava, O. P. (1992). A branching process with immigration and emigration. Statistica, 52(4), 521–528. https://doi.org/10.6092/issn.1973-2201/920