We use the w-function and the Stein identity to give a result on the binomial approximation to the beta-binomial distribution in terms of the total variation distance between the beta-binomial and binomial distributions ...

This paper gives a new upper bound on the geometric approximation to the Pólya distribution using the w-function and the Stein identity.

The Stein-Chen method is used to derive two formulas of uniform and non-uniform bounds on Poisson approximation for a sum of n independent geometric random variables. Application of these formulas is illustrated with the ...

We use the Stein-Chen method to obtain two formulas of non-uniform bounds for the errors in Poisson approximation to the distribution of sums of dependent random indicators. We also give some examples to illustrate some ...