On formulae for central moments of counting distributions
Volume 42 / 2015
Applicationes Mathematicae 42 (2015), 111-124
MSC: Primary 60E99; Secondary 62E99.
DOI: 10.4064/am42-1-7
Abstract
The aim of this article is to give new formulae for central moments of the binomial, negative binomial, Poisson and logarithmic distributions. We show that they can also be derived from the known recurrence formulae for those moments. Central moments for distributions of the Panjer class are also studied. We expect our formulae to be useful in many applications.