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 ...

The problem of unbiased estimation of the parameter θ in the binomial and Poisson distributions is considered. The variance of the estimate is required not to exceed a preassigned bound, B. For the ...

For binomial and Poisson distributions, the scale parameter has a value of 1. The variance of Y is for the binomial distribution and for the Poisson distribution. Overdispersion occurs when the ...

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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 ...