Maximum Population Size in a Branching Process
- 1 September 1962
- journal article
- research article
- Published by JSTOR in Biometrics
- Vol. 18 (3) , 394-+
- https://doi.org/10.2307/2527480
Abstract
Matrix expressions are obtained for the cumulative distribution and frequency function, conditional on initial population size, of the maximum population size in a stochastic branching (multiplicative) process. For maximum size K, inversion of a K X K matrix is required. Ordinarily only small K need be considered. Expressions are then derived for the means and variances of the number of generations to extinction and the total number of particles in all generations, conditional on population size being bounded. Computations are illustrated using the geometric distribution.This publication has 1 reference indexed in Scilit:
- On the Probability of the Extinction of Families.The Journal of the Anthropological Institute of Great Britain and Ireland, 1875