The evolution and measurement of a population of pairs

Author:

Jakeman Eric,Phayre Sean,Renshaw Eric

Abstract

The statistical properties of a population of immigrant pairs of individuals subject to loss through emigration are calculated. Exact analytical results are obtained which exhibit characteristic even–odd effects. The population is monitored externally by counting the number of emigrants leaving in a fixed time interval. The integrated statistics for this process are evaluated and it is shown that under certain conditions only even numbers of individuals will be observed.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 10 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. The evolution of a single-paired immigration death process;Journal of Physics A: Mathematical and Theoretical;2008-07-28

2. The analysis of marked point patterns evolving through space and time;Computational Statistics & Data Analysis;2006-12

3. The evolution of a batch-immigration death process subject to counts;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2005-04-28

4. Metropolis–Hastings from a stochastic population dynamics perspective;Computational Statistics & Data Analysis;2004-05

5. Generation and monitoring of discrete stable random processes using multiple immigration population models;Journal of Physics A: Mathematical and General;2003-11-04

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