This project analyzes the approximation of the binomial distribution by the Poisson distribution. Using several distance measures, such as Kullback-Leibler (KL) divergence, Jensen-Shannon divergence, ...

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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's binomial (PB) is the probability distribution of the number of successes in independent but not necessarily identically distributed binary trials. The independent non-identically ...

This is a preview. Log in through your library . Abstract Using Stein's method, we derive explicit upper bounds on the total variation distance between a Poisson-binomial law (the distribution of a ...

We introduce a simplified computational algorithm for computing isotope distributions (relative abundances and masses) of biomolecules. The algorithm is based on Poisson approximation to binomial and ...

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 ...

Let X denote a discrete distribution as Poisson, binomial or negative binomial variable. The score confidence interval for the mean of X is obtained based on inverting the hypothesis test and the ...