ROBUSTNESS OF THE EWENS SAMPLING FORMULA

被引：11

作者：

JOYCE, P

机构：

来源：

JOURNAL OF APPLIED PROBABILITY | 1995年 / 32卷 / 03期

关键词：

INFINITE ALLELES MODEL; EXCHANGEABILITY; ABSOLUTE CONTINUITY; TAIL SIGMA FIELDS; RESIDUAL ALLOCATION MODELS;

D O I：

10.2307/3215116

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：609 / 622

页数：14

共 24 条

[1]

[Anonymous], 1985, PROBABILITY MEASURE

[2]

Arratia R., 1992, ANN APPL PROBAB, V2, P519

[3] CONSISTENT ORDERED SAMPLING DISTRIBUTIONS - CHARACTERIZATION AND CONVERGENCE [J].