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
File in questo prodotto:
File Dimensione Formato  
nardo.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 408.36 kB
Formato Adobe PDF
408.36 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/1835
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact