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A new approach to Sheppard’s corrections

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, Potenza, Italia

    E. Di Nardo

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  1. E. Di Nardo
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Di Nardo, E. A new approach to Sheppard’s corrections. Math. Meth. Stat. 19, 151–162 (2010). https://doi.org/10.3103/S1066530710020043

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  • DOI: https://doi.org/10.3103/S1066530710020043

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