This is a preview. Log in through your library . Abstract The x log x condition is a fundamental criterion for the rate of growth of a general branching process, being equivalent to non-degeneracy of ...

Let $X_1, X_2,\cdots$ be a sequence of independent random variables, each with zero mean and finite variance. Define $S_n = \sum^n_{i=1} X_i, s_n^2 = E(S_n^2), t_n^2 ...