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 ...

The Canadian Journal of Statistics / La Revue Canadienne de Statistique Let Xi be the number of outcomes in class Ci,i=0,... ,k, during n independent possibly non-identical trials. If class C0 has ...

The Poisson distribution is widely used in artificial intelligence (AI) and machine learning. In Bayesian inference, probability distributions often help solve problems that would otherwise be ...

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 ...