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https://hdl.handle.net/20.500.14279/1167| Title: | Representations of moments using lower-order conditional moments | Authors: | Wang, Wei Yatracos, Yannis G. Wang, Wei |
Major Field of Science: | Engineering and Technology | Keywords: | Variations | Issue Date: | 2007 | Source: | Journal of Statistical Planning and Inference, 2007, vol. 137, no. 1, pp. 299-305. | Volume: | 137 | Issue: | 1 | Start page: | 229 | End page: | 305 | Journal: | Journal of Statistical Planning and Inference | 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: | https://hdl.handle.net/20.500.14279/1167 | ISSN: | 3783758 | DOI: | 10.1016/j.jspi.2005.11.001 | Rights: | © Elsevier | Type: | Article | Affiliation: | Cyprus University of Technology | Affiliation : | National University of Singapore | Publication Type: | Peer Reviewed |
| Appears in Collections: | Άρθρα/Articles |
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