A symbolic method for \(k\)-statistics (Q2371093)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A symbolic method for \(k\)-statistics |
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A symbolic method for \(k\)-statistics (English)
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29 June 2007
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Using the classical umbral calculus syntax introduced by \textit{G. Rota} and \textit{B. Taylor} [SIAM J. Math. Anal. 25, 694--711 (1994; Zbl 0797.05006)] new, compact expressions for \(k\)-statistics and \(U\)-statistics are developed. This symbolic method extends naturally to multivariate cases and to generalized \(k\)-statistics.
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umbral calculus
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symmetric polynomials
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\(U\)-statistics
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\(k\)-statistics
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