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 is a preview. Log in through your library . Abstract We mainly investigate certain mixtures of Poisson distributions with a scale parameter in the mixing distribution. They help us to derive the ...

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 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 ...