On the donnelly-tavaré-griffiths formula associated with the coalescent

Abstract

We evaluate the moments of the Donnelly-Tavaré-Griffiths formula appearing in the n-coalescent with mutation, which characterizes this formula. The formula is also characterized by using Waring distribution and Yule distribution. The asymptotic distributions of the related statistics are obtained as n tends to infinity.

Keywords:

• Random partition
• waring distribution
• yule distibution