On the Convergence of Sequences of Branching Processes

Anders Grimvall

doi:10.1214/aop/1176996496

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Home > Journals > Ann. Probab. > Volume 2 > Issue 6 > Article

December, 1974 On the Convergence of Sequences of Branching Processes

Anders Grimvall

Ann. Probab. 2(6): 1027-1045 (December, 1974). DOI: 10.1214/aop/1176996496

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Abstract

It is shown that there is a close relationship between the convergence of a sequence of normalized Galton-Watson processes and the convergence of the rowsums of a certain triangular array of independent identically distributed random variables. Using this result some limit theorems by Jirina and Lamperti are strengthened.

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Anders Grimvall. "On the Convergence of Sequences of Branching Processes." Ann. Probab. 2 (6) 1027 - 1045, December, 1974. https://doi.org/10.1214/aop/1176996496