Limit theorems for Absorption Times of Genetic Models
Ethier, S. N.
Ann. Probab., Tome 7 (1979) no. 6, p. 622-638 / Harvested from Project Euclid
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We consider a sequence of Markov chains occurring in population genetics (viz., the so-called multiallelic Wright-Fisher models) that converges weakly to a multidimensional diffusion process. Certain absorption times, which arise naturally in connection with the genetic models, are shown to also converge weakly. This extends a result of Guess. Corollaries include convergence of moments of absorption times and convergence of absorption probabilities. The latter results are used implicitly in population genetics.
Publié le : 1979-08-14
Classification:  Genetic models,  absorption times,  weak convergence,  limiting diffusion,  martingale problem,  60F99,  92A10,  60B10,  60J60 
@article{1176994986,
     author = {Ethier, S. N.},
     title = {Limit theorems for Absorption Times of Genetic Models},
     journal = {Ann. Probab.},
     volume = {7},
     number = {6},
     year = {1979},
     pages = { 622-638},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176994986}
}

Ethier, S. N. Limit theorems for Absorption Times of Genetic Models. Ann. Probab., Tome 7 (1979) no. 6, pp.  622-638. http://gdmltest.u-ga.fr/item/1176994986/