Estimating the large mutation parameter of the Ewens sampling formula

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2017 English Publisher:Cambridge University Press (CUP)Journal:Journal of Applied Probability, volume 54, pages 42-54 (issn: 0021-9002, eissn: 1475-6072,

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Authors: Koji Tsukuda;

doi: 10.1017/jpr.2016.85

Estimating the large mutation parameter of the Ewens sampling formula

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Abstract

AbstractWe derive some limit theorems associated with the Ewens sampling formula when its parameter is increasing together with a sample size. Moreover, the limit results are applied in order to investigate asymptotic properties of the maximum likelihood estimator.

Related Organizations

Kurume University
Japan
University of Tokyo
Japan

Keywords

Ewens sampling formula, Central limit and other weak theorems, maximum likelihood estimation, Genetics and epigenetics, Asymptotic properties of parametric estimators, Applications of statistics to biology and medical sciences; meta analysis, asymptotic properties of estimators

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