Journal article
Critical multitype branching processes with infinite variance
Abstract
The exponential limit law for the critical multitype Bienaymé-Galton-Watson process is extended to a class of offspring distributions some or all of whose second moments are infinite. Several asymptotic consequences pertaining to transition probabilities and invariant measures are derived.
Authors
Goldstein MI; Hoppe FM
Journal
Journal of Mathematical Analysis and Applications, Vol. 65, No. 3, pp. 675–686
Publisher
Elsevier
Publication Date
October 1978
DOI
10.1016/0022-247x(78)90171-3
ISSN
0022-247X