Katz partial summations family

Year, pages: 2001, 143 - 148

A certain generalization of partial summations is presented. It is proved that there is a correspondence between the Katz family of discrete probability distributions and a wide class of summation processes. The correspondence is demonstrated on some examples. Relations between probability generating functions and moments of generating and generated distributions are investigated.

Mačutek, J. 2001. Katz partial summations family. In Tatra Mountains Mathematical Publications, vol. 22, no.2, pp. 143-148. 1210-3195.

Mačutek, J. (2001). Katz partial summations family. Tatra Mountains Mathematical Publications, 22(2), 143-148. 1210-3195.