A new approach to Sheppard's corrections
Statistics Theory
2015-03-17 v1 Statistics Theory
Abstract
A very simple closed-form formula for Sheppard's corrections is recovered by means of the classical umbral calculus. By means of this symbolic method, a more general closed-form formula for discrete parent distributions is provided and the generalization to the multivariate case turns to be straightforward. All these new formulae are particularly suited to be implemented in any symbolic package.
Cite
@article{arxiv.1004.4989,
title = {A new approach to Sheppard's corrections},
author = {Elvira Di Nardo},
journal= {arXiv preprint arXiv:1004.4989},
year = {2015}
}
Comments
In press on Math. Meth. in Stat. MAPLE procedures available on MAPLE Application Center http://www.maplesoft.com/applications/