Hostname: page-component-6bf8c574d5-b4m5d Total loading time: 0 Render date: 2025-02-25T16:23:27.686Z Has data issue: false hasContentIssue false
  • English
  • Français

The algebraic equivalence of two measures of genetic distance

Published online by Cambridge University Press:  14 July 2016

Jeremy E. Dawson
Jeremy E. Dawson*
Affiliation:
CSIRO Division of Mathematics and Statistics, Canberra
Get access Rights & Permissions [Opens in a new window]

Abstract

A formal proof is given of the equivalence, conjectured by Rostron, of two measures of the genetic difference between two populations.

Keywords

GENETIC DISTANCECOLONIZATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 520 - 522
Copyright
Copyright © Applied Probability Trust 

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.)

Footnotes

∗

Present address: CSIRO Division of Mathematics and Statistics, P.O. Box 218, Lindfield NSW 2070, Australia.

References

Rostron, J. (1978) Genetic colonizing distance and a problem in algebra (abstract). Adv. App. Prob. 11, 7–8.Google Scholar
Cameron, R. and Martin, W. (1944) The Wiener measure of Hilbert neighborhoods in the space of real continuous functions. J. Math. Phys. 23, 195–209.Google Scholar
Cox, D. (1972) Regression models and life tables. J. R. Statist. Soc. B 34, 187–202.Google Scholar
Cox, D. (1975) Partial likelihood. J. R. Statist. Soc. A 62, 269–276.Google Scholar
Lipster, R. and Shiryayev, A. (1977) Statistics of Random Processes, I (General Theory) and II (Applications). Springer-Verlag, New York.Google Scholar
Myers, L., Paulson, D., Berry, W., Cox, E., Laszlo, J. and Stanley, W. (1980) A time-dependent statistical model which relates current clinical status to prognosis: application to advanced prostatic cancer. J. Chronic Diseases 33, 491–499.Google Scholar
Prentice, R. and Kalbfleisch, J. (1979) Hazard rate models with covariates. Biometrics 35, 25–39.Google Scholar
Woodbury, M. and Manton, K. (1977) A random walk model of human mortality and aging. Theoret. Popn. Biol. 11, 37–48.Google Scholar
Woodbury, M., Manton, K. and Stallard, E. (1979) Longitudinal analysis of the dynamics and risk of coronary heart disease in the Framingham study. Biometrics 35, 575–585.Google Scholar