Article

Random sums of random vectors and multitype families ofproductive individuals

I. RahimovDepartment of Mathematical Sciences, King Fahd University of Petroleum and Minerals, P.O. Box 1339, Dhahran 31261Hassen 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

ABI

Abstract

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 .

Topics

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

Identifiers

DOI: 10.1155/s0161171204303194

Citations and references

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