EIGENSTRUCTURE OF THE INFINITELY-MANY-NEUTRAL-ALLELES DIFFUSION-MODEL

被引：15

作者：

ETHIER, SN

机构：

来源：

JOURNAL OF APPLIED PROBABILITY | 1992年 / 29卷 / 03期

关键词：

POPULATION GENETICS; INFINITE-DIMENSIONAL DIFFUSION PROCESS; POISSON-DIRICHLET DISTRIBUTION; EWENS SAMPLING FORMULA; SYMMETRICAL OPERATOR; EIGENFUNCTION EXPANSION; TRANSITION DENSITY;

D O I：

10.2307/3214888

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：

The complete set of eigenvalues is found for the (unlabeled) infinitely-many-neutral-alleles diffusion model. The transition density for the process, originally derived by Griffiths, is rederived as an eigenfunction expansion.

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收藏

页码：487 / 498

页数：12

相关论文

共 10 条

[1] THE INFINITELY-MANY-NEUTRAL-ALLELES DIFFUSION-MODEL [J].

ETHIER, SN ;

KURTZ, TG .

ADVANCES IN APPLIED PROBABILITY, 1981, 13 (03) :429-452

[2]

EWENS WJ, 1972, THEOR POPUL BIOL, V3, P87, DOI 10.1016/0040-5809(72)90035-4

[3] EIGENVALUES OF NEUTRAL ALLELES PROCESS [J].

EWENS, WJ ;

KIRBY, K .

THEORETICAL POPULATION BIOLOGY, 1975, 7 (02) :212-220

[4] EXACT SAMPLING DISTRIBUTIONS FROM THE INFINITE NEUTRAL ALLELES MODEL [J].

GRIFFITHS, RC .

ADVANCES IN APPLIED PROBABILITY, 1979, 11 (02) :326-354

[5] TRANSITION DENSITY EXPANSION FOR A MULTI-ALLELE DIFFUSION-MODEL [J].

GRIFFITHS, RC .

ADVANCES IN APPLIED PROBABILITY, 1979, 11 (02) :310-325

[6] DERIVATION OF EIGENVALUES OF CONFIGURATION PROCESS INDUCED BY A LABELED DIRECT PRODUCT BRANCHING PROCESS [J].

KARLIN, S ;

AVNI, H .

THEORETICAL POPULATION BIOLOGY, 1975, 7 (02) :221-228

[7] POPULATION-STRUCTURE ASSOCIATED WITH EWENS SAMPLING FORMULA [J].

KINGMAN, JFC .

THEORETICAL POPULATION BIOLOGY, 1977, 11 (02) :274-283

[8]

KINGMAN JFC, 1975, J ROY STAT SOC B MET, V37, P1

[9] A RESULT ON THE INFINITELY MANY NEUTRAL ALLELES DIFFUSION-MODEL [J].

SCHMULAND, B .

JOURNAL OF APPLIED PROBABILITY, 1991, 28 (02) :253-267

[10] STATIONARY DISTRIBUTION OF INFINITELY-MANY NEUTRAL ALLELES DIFFUSION-MODEL [J].

WATTERSON, GA .

JOURNAL OF APPLIED PROBABILITY, 1976, 13 (04) :639-651