Limit theorem for multitype critical branching process evolving in random environment

E. E. D'yakonova

Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 44-58.

Résumé

We investigate a multitype critical branching process in an i.i.d. random environment. A functional limit theorem is proved for the logarithm of the number of particles in the process at moments $nt,0\leq t\leq 1,$ $\ $conditioned on its survival up to moment $n\rightarrow \infty $.

Détail

Keywords: multitype branching processes, random environment, functional limit theorem.

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