Moments from cumulants and vice versa
Authors: Withers, Christopher1; Nadarajah, Saralees2
Source: International Journal of Mathematical Education, Volume 40, Number 6, January 2009 , pp. 842-845(4)
Publisher: Taylor and Francis Ltd
Abstract:
Moments and cumulants are expressed in terms of each other using Bell polynomials. Inbuilt routines for the latter make these expressions amenable to use by algebraic manipulation programs. One of the four formulas given is an explicit version of Kendall's use of Faa di Bruno's chain rule to express cumulants in terms of moments.Keywords: Bell polynomials; cumulants; Faa di Bruno's chain rule; moments
Document Type: Research article
DOI: http://dx.doi.org/10.1080/00207390902971957
Affiliations: 1: Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand 2: School of Mathematics, University of Manchester, Manchester, M13 9PL, UK
Publication date: 2009-01-01
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