Abstract
This paper considers the two-sex birth-death model {X(t), Y(t); t ≧ 0}; an explicit solution is obtained for its probability generating function. It is shown that moments of the process can be found directly from the Kolmogorov forward equations for the probabilities. An integral equation approach is also used to throw light on the structure of the process.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference7 articles.
1. Population Growth of the Sexes
2. Les processus stochastiques en démographie;Joshi;Publ. Inst. Statist. Univ. Paris,1954
3. Parity dependent population growth models;Srinivasan;J. Math. Phys. Sci.,1983
4. On the parity of individuals in a branching process
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Riccati’s differential equation in birth-death processes;Trabajos de Estadistica Y de Investigacion Operativa;1985-10