The beta-binomial distribution is extended to allow negative correlations among binary variates within an experimental unit. Regression models are proposed for both the binary variate response rate ...

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 ...

Procedures for the computation of the Fisher exact test of 2X2 tables by means of the alignment and multiplication of appropriate binomial coefficients are reviewed and extended to larger tables. The ...