Hostname: page-component-6898cfcb55-kwdml Total loading time: 0 Render date: 2026-11-11T12:29:46.420Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get accessRights & Permissions [Opens in a new window]

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

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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
[4] Karlin, S. and Mcgregor, J. (1957) The classification of birth and death processes. Trans. Amer. Math. Soc. 86, 366–400.Google Scholar
[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
[7] Moran, P. A. P. (1958) Random processes in genetics. Proc. Camb. Phil. Soc. 54, 60–71.Google Scholar
[8] Watterson, G. A. (1962) Some theoretical aspects of diffusion theory in population genetics. Ann. Math. Statist. 33, 939–57.Google Scholar