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|Title:||Representations of moments using lower-order conditional moments||Authors:||Wang, Wei
Yatracos, Yannis G.
|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.||URI:||http://ktisis.cut.ac.cy/handle/10488/6645||ISSN:||03783758||DOI:||10.1016/j.jspi.2005.11.001||Rights:||© 2007 Elsevier B.V. All rights reserved.|
|Appears in Collections:||Άρθρα/Articles|
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