A unified approach to the moments based distribution estimation - Unbounded support

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Abstract

The problem of moments has been studied for more than a century. This paper discusses a practical issue related to the problem of moments namely the bounding of a distribution based on a given number of moments. The presented approach is unified in the sense that all measures of interests are provided as a quadratic expression of the same Hankel-matrix. Application examples indicate the importance of the presented approach. © Springer-Verlag Berlin Heidelberg 2005.

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Tari, Á., Telek, M., & Buchholz, P. (2005). A unified approach to the moments based distribution estimation - Unbounded support. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3670 LNCS, pp. 79–93). https://doi.org/10.1007/11549970_7

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