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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am42-1-7,
author = {Katarzyna Steliga and Dominik Szynal},
title = {On formulae for central moments of counting distributions},
journal = {Applicationes Mathematicae},
volume = {42},
year = {2015},
pages = {111-124},
zbl = {1328.60039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-1-7}
}
Katarzyna Steliga; Dominik Szynal. On formulae for central moments of counting distributions. Applicationes Mathematicae, Tome 42 (2015) pp. 111-124. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-1-7/