We provide a general theorem bounding the error in the approximation of a random measure of interest—for example, the empirical population measure of types in a ...

In this paper we consider large θ approximations for the stationary distribution of the neutral infinite alleles model as described by the the Poisson-Dirichlet distribution with parameter θ. We prove ...

This study extends the Poisson binomial distribution by introducing correlation and dependence between binomial events, enhancing its ability to capture complex event types and improving model ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

For binomial and Poisson distributions, the scale parameter has a value of 1. The variance of Y is for the binomial distribution and for the Poisson distribution. Overdispersion occurs when the ...