Abstract
Abstract We consider a multitype critical branching process Z n , n = 0, 1,…, in an i.i.d. random environment. Let Z m,n be the number of particles in this process at time m having descendants at time n. A limit theorem is proved for the logarithm of Z nt,n at moments nt,0 ≤ t ≤ 1, conditioned on the survival of the process Z n up to moment n when n → ∞.
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