On the moment characteristics of distributions
type: Item
instance of: scholarly article
title: On the moment characteristics of distributions
zbMATH Open document ID: 0946.60012
DOI: 10.1007/BF02407138
author: V. Ya. Galkin
author: M. V. Ufimtsev
published in: Computational Mathematics and Modeling
publication date: 2000-03-27T00:00:00Z
review text: The paper studies different moment characteristics of (discrete) distributions: general, central, binomial, and factorial moments, as well as ordinary and factorial semi-invariants. There are established connections between various kinds of moments and recomputation formulas of arbitrary order. Numerical and analytical recursive relations that express the moments of higher order in terms of lower-order moments are provided. This problem appears to be closely related to combinatorics, to polynomials and numbers, and the corresponding formulas and relations for the moment characteristics are to a large extent merely consequences of the properties of Bell polynomials, Stirling numbers, etc.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60C05
zbMATH DE Number: 1425286
zbMATH Keywords: discrete distributions
zbMATH Keywords: moment characteristics
zbMATH Keywords: recursive relations
zbMATH Keywords: combinatorics
MaRDI profile type: Publication
cites work: Q5561562
cites work: Q3243274
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full work available at URL: https://doi.org/10.1007/bf02407138
OpenAlex ID: W2060267856
description: scientific article; zbMATH DE number 1425286