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
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Аннотация
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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