The Binomial test, sometimes referred to as the Binomial exact test, is a test used in sampling statistics to assess whether a proportion of a binary variable is equal to some hypothesized value. In ...

Using the C(α) procedure of Neyman (1959), we derive tests for the goodness of fit of the binomial distribution which are asymptotically optimal against generalized binomial alternatives proposed by ...

A sequential procedure is proposed for deciding which of two sequences of Bernoulli trials has the greater success probability. The procedure covers cases in which the two sequences are being observed ...

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 ...