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Central limit theorem for a critical multi-type branching process in random environment

Central limit theorem for a critical multi-type branching process in random environment

Let (Z n) n$\ge$0 with Z n = (Z n (i, j)) 1$\le$i,j$\le$p be a p multi-type critical branching process in random environment, and let M n be the expectation of Z n given a fixed environment. We prove theorems on convergence in distribution of sequences of branching processes Zn …