On a formula in diffusion processes in population genetics
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- by Charles J. Holland PDF
- Proc. Amer. Math. Soc. 54 (1976), 316-318 Request permission
Abstract:
A problem of recent interest has been the determination of the average values of certain quantities conditioned upon the fixation (or extinction) of the gene in the population. In this note we give another simple proof of formulas for the determination of these quantities.References
- E. B. Dynkin, Markovskie protsessy, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1963 (Russian). MR 0193670 W. J. Ewens, Conditional diffusion processes in population genetics, Theoret. Population Biology 4(1973), 21-30.
- I. I. Gihman and A. V. Skorohod, Stokhasticheskie differentsial′nye uravneniya, Izdat. “Naukova Dumka”, Kiev, 1968 (Russian). MR 0263172 T. Maruyama and M. Kimura, Some methods for treating continuous stochastic processes in population genetics, Japan. J. Genetics 46(1971), 407-410.
- Thomas Nagylaki, The moments of stochastic integrals and the distribution of sojourn times, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 746–749. MR 341637, DOI 10.1073/pnas.71.3.746
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 316-318
- MSC: Primary 60J70; Secondary 92A15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0405609-3
- MathSciNet review: 0405609