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Applications of terminating nonhomogeneous renewal processes in family planning evaluation
Journal article   Peer reviewed

Applications of terminating nonhomogeneous renewal processes in family planning evaluation

Charles J. Mode
Mathematical biosciences, v 22(C), pp 293-311
1974

Abstract

A terminating nonhomogeneous renewal process is formulated and studied in relation to the development of quantitative methods in family planning evaluation. The motivation underlying the results presented here was to satisfy a need, which arose during computer studies, to complete and extend a stochastic model of human reproduction reported previously. The paper is divided into seven sections detailing the nature of changes made in previous work. Two novel developments in the paper are the formulation of the waiting time between live births in terms of an absorbing semi-Markov process and the waiting time to conception in populations utilizing several methods of contraception as an absorbing Markov chain. These formulations not only permit the accommodation of many family planning variables but also lead to greater conceptual simplification than formulations used in previous work.

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