In this paper we introduce the transformed two-parameter Poisson—Dirichlet distribution $\Pi _{\theta,\alpha}^{\sigma}$ on the ordered infinite simplex. Furthermore, we prove the central limit theorem ...

In phylogenetic analysis it is useful to study the distribution of the parsimony length of a tree under the null model, by which the leaves are independently assigned letters according to prescribed ...

The usual local central limit theorem provides an approximation for the probability for an iid sequence . The approximation is proportional to the lattice size of the underlying distribution of the ...

The normal distribution (also known as the Gaussian distribution) is arguably the most important distribution in Statistics. It is often used to represent continuous random variables occurring in ...