A result on the infinitely many neutral alleles diffusion model
- 1 March 1991
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 28 (02) , 253-267
- https://doi.org/10.1017/s0021900200039668
Abstract
The stationary version of the infinitely many neutral alleles diffusion model, as studied by Ethier and Kurtz, is constructed and analyzed using the theory of Dirichlet forms. We prove that the ‘boundary' of the state space is hit by the process iffθ< 1, whereθis the mutation parameter.Keywords
This publication has 3 references indexed in Scilit:
- The infinitely-many-neutral-alleles diffusion modelAdvances in Applied Probability, 1981
- Diffusion processes in population geneticsKyoto Journal of Mathematics, 1981
- The stationary distribution of the infinitely-many neutral alleles diffusion modelJournal of Applied Probability, 1976