A very simple closed-form formula for Sheppard’s corrections is recovered by means of the classical umbral calculus. Using this symbolic method, a more general closed-form formula for discrete parent distributions is provided and the generalization to the multivariate case turns out to be straightforward. All these new formulas are particularly suited to be implemented in any symbolic package.

A new approach to Sheppard’s corrections.

DI NARDO, Elvira
2010-01-01

Abstract

A very simple closed-form formula for Sheppard’s corrections is recovered by means of the classical umbral calculus. Using this symbolic method, a more general closed-form formula for discrete parent distributions is provided and the generalization to the multivariate case turns out to be straightforward. All these new formulas are particularly suited to be implemented in any symbolic package.
2010
19
2
151
162
http://www.springerlink.com/content/r5374u2082w177gv/
raw moment - grouped moment - Sheppard’s correction - umbral calculus - Bernoulli polynomials
DI NARDO, Elvira
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1561349
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