Joyce, Paul Robustness of the Ewens sampling formula. (English) Zbl 0836.62022 J. Appl. Probab. 32, No. 3, 609-622 (1995). Summary: Under the assumptions of the neutral infinite alleles model, \(K\) (the total number of alleles present in a sample) is sufficient for estimating \(\theta\) (the mutation rate). This is a direct result of the Ewens sampling formula, which gives a consistent, asymptotically normal estimator for \(\theta\) based on \(K\). It is shown that the same estimator used to estimate \(\theta\) under neutrality is consistent and asymptotically normal, even when the assumption of selective neutrality is violated. Cited in 5 Documents MSC: 62F12 Asymptotic properties of parametric estimators 60G42 Martingales with discrete parameter 60F15 Strong limit theorems 62P10 Applications of statistics to biology and medical sciences; meta analysis Keywords:absolute continuity; tail sigma fields; residual allocation models; neutral infinite alleles model; mutation rate; Ewens sampling formula; consistency; asymptotically normal estimator; neutrality; selective neutrality PDFBibTeX XMLCite \textit{P. Joyce}, J. Appl. Probab. 32, No. 3, 609--622 (1995; Zbl 0836.62022) Full Text: DOI