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The evolution and measurement of a population of pairs

Part of: Optics, electromagnetic theory - General Markov processes

Published online by Cambridge University Press:  14 July 2016

Eric Jakeman ,
Sean Phayre  and
Eric Renshaw
Eric Jakeman*
Affiliation:
Defence Research Agency, Malvern
Sean Phayre*
Affiliation:
University of Strathclyde
Eric Renshaw*
Affiliation:
University of Strathclyde
*
∗Postal address: Defence Research Agency, Malvern, Worcs WR14 3PS, UK.
∗∗Postal address: Department of Statistics and Modelling Science, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK.
∗∗Postal address: Department of Statistics and Modelling Science, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK.
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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.

Keywords

COUNTING PROCESSDEATHEMIGRATIONEVEN–ODD EFFECTSPHOTON PAIRSQUANTUM OPTICSSUPER/SUB-POISSONIANTELEGRAPH WAVEWAITING TIMES

MSC classification

Primary: 60J25: Continuous-time Markov processes on general state spaces
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 78A10: Physical optics
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 4 , December 1995 , pp. 1048 - 1062
Copyright
Copyright © Applied Probability Trust 1995 

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