Abstract
In this paper three models are considered. They are the infinitely-many-neutral-alleles model of Ethier and Kurtz (1981), the two-parameter infinitely-many-alleles diffusion model of Petrov (2009), and the infinitely-many-alleles model with symmetric dominance Ethier and Kurtz (1998). New representations of the transition densities are obtained for the first two models and the ergodic inequalities are provided for all three models.
| Original language | English |
|---|---|
| Pages (from-to) | 238-246 |
| Number of pages | 9 |
| Journal | Journal of Applied Probability |
| Volume | 52 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Mar 2015 |
| Externally published | Yes |
Keywords
- Ergodic inequality
- Transition density
- Two-parameter Poisson-Dirichlet distribution