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Limit theorems for random mating in infinite populations

Published online by Cambridge University Press:  14 July 2016

B. E. Ellison
B. E. Ellison*
Affiliation:
Lockheed Missiles and Space Company, Palo Alto, California
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Extract

This paper is concerned with the distribution of “types” of individuals in an infinite population after indefinitely many nonoverlapping generations of random mating. The absence of selection and mutation is assumed. The probabilistic law which governs the production of an offspring may be asymmetrical with respect to the “sexes” of the two parents, but the law is assumed to apply independently of the “sex” of the offspring. The question of the existence of a limit distribution of types, the rate at which a limit distribution is approached, and properties of limit distributions are treated.

Type
Research Papers
Information
Journal of Applied Probability , Volume 3 , Issue 1 , June 1966 , pp. 94 - 114
Copyright
Copyright © Sheffield: Applied Probability Trust 

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