The critical Bienaymé-Galton-Watson process

Fred M. Hoppe

Stochastic Processes and their Applications, 1977, vol. 5, issue 1, 57-66

Abstract: The existence and uniqueness of invariant measures for the critical, multitype Bienayné-Galton-Watson process is established by proving corresponding results for convex solutions of Abel's functional equation. A limit theorem is obtained by conditioning future extinction. No additional moment assumptions are made.

Keywords: 60F15; Critical; multiple; Galton-Watson; process; Conditioned; limit; theorem; invariant; measures; convexity; Abel's; equation; positive; regularity (search for similar items in EconPapers)
Date: 1977
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