✦ LIBER ✦

On a stochastic model for continuous mass branching population

✍ Scribed by Ibrahim Rahimov

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 128 KB
Volume: 76
Category: Article
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2007.01.019

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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