A logistic approximation to the cumulative normal distribution
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Tipus de documentArticle
Data publicació2009-06
EditorSchool of Industrial and Aeronautic Engineering of Terrassa (ETSEIAT). Universitat Politècnica de Catalunya (UPC)
Condicions d'accésAccés obert
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continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
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Reconeixement-NoComercial 3.0 Espanya
Abstract
This paper develops a logistic approximation to the cumulative normal
distribution. Although the literature contains a vast collection of approximate functions for
the normal distribution, they are very complicated, not very accurate, or valid for only a
limited range. This paper proposes an enhanced approximate function. When comparing
the proposed function to other approximations studied in the literature, it can be observed
that the proposed logistic approximation has a simpler functional form and that it gives
higher accuracy, with the maximum error of less than 0.00014 for the entire range. This is,
to the best of the authors’ knowledge, the lowest level of error reported in the literature.
The proposed logistic approximate function may be appealing to researchers, practitioners
and educators given its functional simplicity and mathematical accuracy
CitacióBowling, Shannon R. [et al.]. A logistic approximation to the cumulative normal distribution. "Journal of Industrial Engineering and Management", Juny 2009, vol. 2, núm. 1, p. 114-127.
Dipòsit legalB-28744-2008
ISSN2013-0953
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