Necessary conditions for normed convergence of critical multitype Bienaymé-Galton-Watson processes without variance

The condition on the offspring distribution in the critical multitype Bienaymé-Galton-Watson process without variance, which was previously shown to be sufficient for the existence of the analogue of the exponential limit law, is now shown also to be necessary. This completely extends previous one-type work of R. S. Slack.

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Year of publication:	1978
Authors:	Goldstein, Martin I. ; Hoppe, Fred M.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 8.1978, 1, p. 55-62
Publisher:	Elsevier
Keywords:	Bienayme-Galton-Watson process extinction probability critical multitype branching process

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005221246