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On some expressions for variance, covariance, skewness and L-moments

Jones, M. C. (2004). On some expressions for variance, covariance, skewness and L-moments. Journal of Statistical Planning and Inference, 126(1) pp. 97–106.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.jspi.2003.09.001
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Abstract

Some results concerning expressions for moments and L-moments of continuous distributions are given. These include: some decompositions of variance and covariance closely related to decompositions recently given by Yatracos; a similar expression for the population third central moment and a simple proof thereof for nonnegative random variables; an alternative proof of a general expression for L-moments due to Hosking, and some straightforward consequences for inequalities concerning L-moments. Simplicity is a key feature of all results considered in this paper.

Item Type: Journal Article
Copyright Holders: 2003 Elsevier B.V.
ISSN: 0378-3758
Keywords: mean residual life; moments
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 19276
Depositing User: Colin Smith
Date Deposited: 22 Dec 2009 14:31
Last Modified: 22 Jul 2011 08:14
URI: http://oro.open.ac.uk/id/eprint/19276
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