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Recovery of functions from transformed moments: A unified approach

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  • Robert M. Mnatsakanov

Abstract

Two approximations recovering the functions from their transformed moments are proposed. The upper bounds for the uniform rate of convergence are derived. In addition, the comparisons of the estimates of the cumulative distribution function and its density function with the empirical distribution and the kernel density estimates are conducted via a simulation study. The plots of recovered functions are presented for several examples as well.

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  • Robert M. Mnatsakanov, 2017. "Recovery of functions from transformed moments: A unified approach," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(7), pages 3174-3185, April.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:7:p:3174-3185
    DOI: 10.1080/03610926.2015.1056369
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