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A symbolic method for k-statistics

2005/05/02 by Elvira Di Nardo, E. Di Nardo, Di Nardo, E. +2
Computer Science · Decision Sciences · Mathematics · #05A40 #05E05 #62A01 #Advanced Statistical Methods and Models #Combinatorics (math.CO) #Computer science #Econometrics #FOS: Mathematics #Mathematics #Multidisciplinary Science and Engineering Research #Neural Networks and Applications #Statistics #Statistics Theory (math.ST) #math.CO #math.ST #msc:05A40 #msc:05E05 #msc:62A01 #stat.TH

paper · pdf · doi:10.48550/arxiv.math/0505033

Extended abstract with corrected typos and change content

openalex publication_date 2005/05/02 · arxiv created 2005/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Trough the classical umbral calculus, we provide new, compact and easy to handle expressions of k-statistics, and more in general of U-statistics. In addition such a symbolic method can be naturally extended to multivariate case and to generalized k-statistics.

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