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A renewal theoretic model for chronic disease statistics

Published online by Cambridge University Press:  14 July 2016

Simeon M. Berman
Simeon M. Berman*
Affiliation:
Columbia University, New York
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Extract

The health of an individual during his lifetime may be considered as a stochastic process over time. He is usually born free of disease; at some time x after his birth, he becomes the victim of a mortal disease or accident, and dies at time y ≧ x. Comparative studies of chronic diseases try to evaluate the relative forces of diseases in a population, and to estimate the survival time y − x. One type of study is of the “time-oriented” type: a group of individuals is followed by a periodic survey over several years. Several papers on these problems, and comprehensive bibliographies, are contained in the volume [3].

Type
Research Papers
Information
Journal of Applied Probability , Volume 2 , Issue 1 , June 1965 , pp. 119 - 128
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

[1] Doob, J. L. (1953) Stochastic Processes. John Wiley, New York.Google Scholar
[2] Feller, William (1957) An Introduction to Probability Theory and its Applications 1, 2 ed. John Wiley, New York.Google Scholar
[3] Neyman, Jerzy (editor) (1961) Proceeding of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, IV. Univ. Calif. Press.Google Scholar
[4] Smith, Walter L. (1958) Renewal theory and its ramifications. J. R. Statist Soc. B 20, 243–302.Google Scholar