Details

Autor(en) / Beteiligte

• Kingman, J.F.C.

Titel

The population structure associated with the Ewens sampling formula

Ist Teil von

• Theoretical population biology, 1977-04, Vol.11 (2), p.274-283

Ort / Verlag

United States: Elsevier Inc

Erscheinungsjahr

1977

Link zum Volltext

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• Models for selectively neutral mutation, in which mutation always yields a new allele, seem always to lead, in the limit of large population size, to a sampling formula first propounded by Ewens in 1972. It is shown that the asymptotic validity of the Ewens formula is equivalent to a certain limiting joint distribution for the allele proportions in the population, arranged in descending order. The familiar diffusion approximations are corollaries of this limiting distribution, and therefore share the apparent robustness of the sampling formula.