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Article

Limit Properties of Transition Functions of Continuous-Time Markov Branching Processes

Азам А. ИмомовState Testing Center under Cabinet of Ministers of Republic of Uzbekistan, Karshi State University, 17 Kuchabag, 180100 Karshi, Uzbekistan
International Journal of Stochastic Analysisjournal2014en
ABI

Abstract

Consider the Markov Branching Process with continuous time. Our focus is on the limit properties of transition functions of this process. Using differential analogue of the Basic Lemma we prove local limit theorems for all cases and observe invariant properties of considering process.

Topics

Stochastic processes and statistical mechanicsMarkov Chains and Monte Carlo MethodsMathematical Dynamics and Fractals

Identifiers

DOI
10.1155/2014/409345

Citations and references

Cited by 57 references
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