Moment relations for some discrete distributions

Summary

Recursion relations for moments not involving differentiation with respect to the parameter of the distribution are given for the Poisson distribution in Philipson (1963) and those for the logarithmic series distribution in Patil, Kamat and Wani (1964) and Patil and Wani (1965). Similar results are obtained here for the negative binomial distribution. The relations referred to above are obtained as corollaries.