On formulae for central moments of counting distributions

Katarzyna Steliga, and Dominik Szynal. "On formulae for central moments of counting distributions." Applicationes Mathematicae 42.1 (2015): 111-124. <http://eudml.org/doc/279919>.

@article{KatarzynaSteliga2015,
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.},
author = {Katarzyna Steliga, Dominik Szynal},
journal = {Applicationes Mathematicae},
keywords = {moments; Stirling numbers; recursions; Panjer class; compound distributions},
language = {eng},
number = {1},
pages = {111-124},
title = {On formulae for central moments of counting distributions},
url = {http://eudml.org/doc/279919},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Katarzyna Steliga
AU - Dominik Szynal
TI - On formulae for central moments of counting distributions
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 1
SP - 111
EP - 124
AB - 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.
LA - eng
KW - moments; Stirling numbers; recursions; Panjer class; compound distributions
UR - http://eudml.org/doc/279919
ER -