Through the classical umbral calculus, we provide new, compact and easy to handle expressions for k-statistics, and more generally for U-statistics. In addition, this symbolic method can be naturally extended to multivariate cases and to generalized k-statistics.

A symbolic method for k-statistics

DI NARDO, Elvira;
2006-01-01

Abstract

Through the classical umbral calculus, we provide new, compact and easy to handle expressions for k-statistics, and more generally for U-statistics. In addition, this symbolic method can be naturally extended to multivariate cases and to generalized k-statistics.
2006
19
9
968
975
http://www.sciencedirect.com/science/article/pii/S0893965905003757
Umbral calculus, Symmetric polynomials, U-Statistics, k-Statistics, Joint cumulants
E. DI NARDO; D. SENATO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1561344
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