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- W1591800242 abstract "Given is the Borel probability space on the set of real numbers. The algebraic-analytical structure of the set of all finite atomic random variables on it with a given even number of moments is determined. It is used to derive an explicit version of the Chebyshev-Markov-Stieltjes inequalities suitable for computation. These inequalities are based on the theory of orthogonal polynomials, linear algebra, and the polynomial majorant/minorant method. The result is used to derive generalized Laguerre-Samuelson bounds for finite real sequences and generalized Chebyshev-Markov value-at-risk bounds. A financial market case study illustrates how the upper value-at-risk bounds work in the real world." @default.
- W1591800242 created "2016-06-24" @default.
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- W1591800242 date "2015-06-13" @default.
- W1591800242 modified "2023-09-24" @default.
- W1591800242 title "An explicit version of the Chebyshev-Markov-Stieltjes inequalities and its applications" @default.
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- W1591800242 doi "https://doi.org/10.1186/s13660-015-0709-1" @default.
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