The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem

Cordero F (2017)
MARKOV PROCESSES AND RELATED FIELDS 23(2): 313-324.

Download
No fulltext has been uploaded. References only!
Journal Article | Original Article | Published | English

No fulltext has been uploaded

Abstract
We consider a Moran model with two allelic types, mutation and selection. In this work, we study the behaviour of the proportion of fit individuals when the size of the population tends to infinity, without any rescaling of parameters or time. We first prove that the latter converges, uniformly in compacts in probability, to the solution of an ordinary differential equation, which is explicitly solved. Next, we study the stability properties of its equilibrium points. Moreover, we show that the fluctuations of the proportion of fit individuals, after a proper normalisation, satisfy a uniform central limit theorem in [0, infinity). As a consequence, we deduce the convergence of the corresponding stationary distributions.
Publishing Year
ISSN
PUB-ID

Cite this

Cordero F. The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCESSES AND RELATED FIELDS. 2017;23(2):313-324.
Cordero, F. (2017). The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCESSES AND RELATED FIELDS, 23(2), 313-324.
Cordero, F. (2017). The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCESSES AND RELATED FIELDS 23, 313-324.
Cordero, F., 2017. The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCESSES AND RELATED FIELDS, 23(2), p 313-324.
F. Cordero, “The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem”, MARKOV PROCESSES AND RELATED FIELDS, vol. 23, 2017, pp. 313-324.
Cordero, F.: The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem. MARKOV PROCESSES AND RELATED FIELDS. 23, 313-324 (2017).
Cordero, Fernando. “The Deterministic Limit of the Moran Model: a Uniform Central Limit Theorem”. MARKOV PROCESSES AND RELATED FIELDS 23.2 (2017): 313-324.
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Search this title in

Google Scholar