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Random sums of random vectors and multitype families of productive individuals

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  • I. Rahimov
  • H. Muttlak

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 .

Suggested Citation

  • I. Rahimov & H. Muttlak, 2004. "Random sums of random vectors and multitype families of productive individuals," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:127463
    DOI: 10.1155/S0161171204303194
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