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 ...

We present a method to obtain both exact values and sharp estimates for the total variation distance between binomial and Poisson distributions with the same mean λ. We give a simple efficient ...

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 ...

This article discusses the contribution of counting statistics to the uncertainty in identifying the net peak area, and in controlling detection limits. The method is applicable to spectrometers that ...

Neurons transmit information with sequences of action potentials. These responses are variable—repeated measurements under identical experimental conditions give different spike trains—but the origins ...