On a stochastic model for continuous mass branching population

Ibrahim Rahimov

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 171-176

Abstract: It is well known that the set of non-negative integers is the state-space of usual branching stochastic processes. However in many applications one may have situations when it is difficult to count the number of individuals in the population, but some non-negative characteristic, such as volume, weight or product produced by the individuals can be measured. To model this kind of situation, branching stochastic processes with continuous state-space are introduced. In this paper two theorems which establish relationship between asymptotic behavior of processes continuous and discrete state-space and with immigration in varying environment will be proved.

Keywords: Counting process; Branching process; Immigration; Independent increment; Stationary; Environment (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:171-176

DOI: 10.1016/j.matcom.2007.01.019

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