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On the parity of individuals in birth and death processes

Published online by Cambridge University Press:  01 July 2016

S. K. Srinivasan  and
C. R. Ranganathan
S. K. Srinivasan*
Affiliation:
Indian Institute of Technology, Madras
C. R. Ranganathan*
Affiliation:
Indian Institute of Technology, Madras
*
∗Postal address: Department of Mathematics, Indian Institute of Technology, Madras 600 036, India.
∗Postal address: Department of Mathematics, Indian Institute of Technology, Madras 600 036, India.
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Abstract

This paper deals with the parity of individuals in an age-dependent birth and death process. A more general model with parity and age-dependent birth rates is also considered. The mean number of individuals with parity 0, 1, 2, ·· ·is obtained for the two models. The first moments of the total number of births in the population up to time t and the sum of the parities of the individuals existing at time t are obtained. A brief discussion on the parity of individuals in a population including ‘twins' is also given.

Keywords

PARITYAGE-DEPENDENT BIRTH AND DEATH PROCESSPRODUCT DENSITY FUNCTIONSTWINS

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 3 , September 1982 , pp. 484 - 501
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

Research supported by the council of Scientific and Industrial Research, India.

References

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