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Title: Representations of moments using lower-order conditional moments
Authors: Wang, Wei 
Yatracos, Yannis G. 
Wang, Wei 
Keywords: Variations
Issue Date: 2007
Publisher: Elsevier
Source: Journal of Statistical Planning and Inference, 2007, Volume 137, Issue 1, Pages 299-305
Abstract: Moments and central moments of a random variable X are expressed as integrals of functions of lower-order conditional moments and the cumulative distribution of X. In particular, sample central moments of order 2 k are expressed as the sum of between groups variations, providing an analogue to the analysis of variance. Similar expressions are obtained for the expectations of real-valued and measurable functions of X.
ISSN: 03783758
DOI: 10.1016/j.jspi.2005.11.001
Rights: © 2007 Elsevier B.V. All rights reserved.
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