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Random sums of random vectors and multitype families ofproductive individuals

I. RahimovInstitute of Mathematics, Uzbek Academy of Sciences, Tashkent 700143Hassen A. MuttlakDepartment of Mathematical Sciences, King Fahd University of Petroleum and Minerals, P.O. Box 1676, Dhahran 31261

International Journal of Mathematics and Mathematical Sciencesjournal2004en

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Annotatsiya

We prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. Applying these limit theorems, we study the number of productive individuals in n ‐type indecomposable critical branching stochastic processes with types of individuals T 1 , …, T n .

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Mavzular

Stochastic processes and statistical mechanics Probability and Risk Models Financial Risk and Volatility Modeling

Identifikatorlar

DOI: 10.1155/s0161171204303194

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