A generalized negative binomial (GNB) distribution with an additional parameter β has been obtained by using Lagrange's expansion. The parameter is such that both mean and variance tend to increase or ...

Second, the binomial distribution assumes that we know the intrinsic probability of an event occurring, as we would with a dice roll or coin flip. But we never really know what a baseball player’s ...

This note sketches a biological context for the negative binomial distribution, gives some of the many equivalent mathematical notations that have been used for the negative binomial probabilities, ...