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

Martin I. Goldstein and Fred M. Hoppe

Journal of Multivariate Analysis, 1978, vol. 8, issue 1, 55-62

Abstract: 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.

Keywords: Bienayme-Galton-Watson; process; extinction; probability; critical; multitype; branching; process (search for similar items in EconPapers)
Date: 1978
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