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The pseudo-transient distribution and its uses in genetics

Published online by Cambridge University Press:  14 July 2016

W. J. Ewens
W. J. Ewens*
Affiliation:
Australian National University
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Extract

In genetics one frequently encounters variates which behave, to a close approximation, as diffusion variates with drift and diffusion coefficients m(x),v(x), respectively, where after a suitable rescaling of the time axis, m(x) and v(x) are of the form

Type
Research Papers
Information
Journal of Applied Probability , Volume 1 , Issue 1 , June 1964 , pp. 141 - 156
Copyright
Copyright © Applied Probability Trust 1964 

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References

[1] Ewens, W. J. (1963a) The diffusion equation and a pseudo-distribution in genetics. To appear in J. R. Statist. Soc. B.Google Scholar
[2] Ewens, W. J. (1963b) The mean time for absorption in a process of genetic type. To appear in J. Aust. Math. Soc. CrossRefGoogle Scholar
[3] Ewens, W. J. (1963c) Numerical results and diffusion approximations in a genetic process. To appear in Biometrika. Google Scholar
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[5] Knox, S. (1962) Ph. D. Thesis, Virginia Polytechnic Institute.Google Scholar
[6] Malecot, G. (1944) Sur un problème de probabilités en chaîne que pose la génétique. Comptes Rendus 219, 379.Google Scholar
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