Author:
Kaplan Norman,Sudbury Aidan,Nilsen Trygve S.
Abstract
A population process is considered where particles reproduce according to an age-dependent branching process, and are subjected to disasters which occur at the epochs of an independent renewal process. Each particle alive at the time of a disaster, survives it with probability p and the survival of any particle is assumed independent of the survival of any other particle. The asymptotic behavior of the mean of the process is determined and as a consequence, necessary and sufficient conditions are given for extinction.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. Branching Processes with Random Environments, II: Limit Theorems
2. The Theory of Branching Processes
3. Athreya K. B. and Kaplan N. (1974) Limit theorems for a branching process with disastes. To appear.
Cited by
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