On two types of partial summations

In: Tatra Mountains Mathematical Publications, vol. 26, no. 2

Ján Mačutek

Detaily:

Rok, strany: 2003, 403 - 410

O článku:

Let $\{P_j^*\}_j=0^∞$, $\{P_j\}_j=0^∞$ be discrete distributions on the nonnegative integers. Generalized partial summations, namely

$ P_x=∑^∞_j=xg(j)P^*_j, x=0,1,2, …. $

and

$ P_x=h(x)∑^∞_j=xP^*_j, x=0,1,2, … $,

are analyzed. Relations between the probability generating functions of the parent and descendant distributions are investigated. For a wide class of discrete distributions we can find the functions $g(x)$ and $h(x)$ such that the distribution remains unaltered under the above mentioned summations.

Ako citovať:

ISO 690:

Mačutek, J. 2003. On two types of partial summations. In Tatra Mountains Mathematical Publications, vol. 26, no.2, pp. 403-410. 1210-3195.

APA:

Mačutek, J. (2003). On two types of partial summations. Tatra Mountains Mathematical Publications, 26(2), 403-410. 1210-3195.