Geodesic
On formulae for central moments of counting distributions
Katarzyna Steliga1 ; Dominik Szynal2
1 Department of Mathematics Faculty of Economics Maria Curie-Skłodowska University Pl. M. Curie-Skłodowskiej 5 20-031 Lublin, Poland
2 Department of Economics The John Paul II Catholic University of Lublin Wydział Zamiejscowy Ofiar Katynia 6 37-450 Stalowa Wola, Poland
Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 111-124 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am42-1-7
Keywords: article formulae central moments binomial negative binomial poisson logarithmic distributions derived known recurrence formulae those moments central moments distributions panjer class studied expect formulae useful many applications

Katarzyna Steliga 1 ; Dominik Szynal 2

1 Department of Mathematics Faculty of Economics Maria Curie-Skłodowska University Pl. M. Curie-Skłodowskiej 5 20-031 Lublin, Poland
2 Department of Economics The John Paul II Catholic University of Lublin Wydział Zamiejscowy Ofiar Katynia 6 37-450 Stalowa Wola, Poland 
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 of counting distributions
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Katarzyna Steliga; Dominik Szynal. On formulae for central moments
 of counting distributions. Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 111-124. doi: 10.4064/am42-1-7

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