ABSTRACT

The univariate logarithmic series distribution was introduced by Fisher et al. (1943) as a limit of the zero-truncated negative binomial distribution. For this purpose, let us consider the random variable X with the pgf Π ( t ) = q n ( 1 − pt ) − n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315138480/5ae0c873-2684-4218-84a5-01e21f92e64f/content/eq1065.tif"/>