ABSTRACT

In its more general form where k may assume either integer or noninteger values, the negative binomial is perhaps the most widely used of all two-parameter discrete distributions, and its applications are many and varied. Different authors have written this function in various different forms. Fisher (1941) preferred a form that follows from (13.3.1) when we make the transformation q = (1 - p)lp. Anscombe (1950) used a form that results from the transformation m = k(l - p)lp = kq. In this presentation we adhere to the form given in (13.3.1).