Near-constancy of the Harris function in the simple branching process

Near-constancy of the Harris function in the simple branching process,

by J.D.Biggins and S. Nadarajah

Stoc. Models. (1993) 9, 435-444

Abstract

A natural sufficient condition is given for a Galton-Watson process in a varying environment to have a single rate of growth that obtains throughout the survival set of the process. In the homogeneous process the growth rate is provided by the usual Seneta-Heyde norming.

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