We postulate that {Zn} satisfy the recurrence relations (5) E(s^\Fn,z) = K W ] ^ a.s. and for any set of integers l ^ W i < w 2 < • • • <rik with | s t | â l , A MS Subject Classifications. Primary 6067; Secondary 6030.

A limit theorem for multidimensional GaltonWatson processes

H. Kesten, B. P. Stigum

Ann. Math. Statist

1966

Highly Influential

4 Excerpts

Necessary conditions for almost sure extinction of a branching process with random environment

W. Smith

Ann. Math. Statist

1968

2 Excerpts

The theory of branching processes, Chapts. 2 and 6, Die Grundlehren der math. Wissenschaften, Band 119, Springer-Verlag, Berlin and New York and Prentice-Hall, Englewood Cliffs