An accurate approximation for the standard normal distribution function. Issue 1 (2nd January 2021)

• Record Type: Journal Article
• Authors: Eidous, Omar; Abu-Hawwas, Jawaher
• Is Part Of: Journal of information & optimization sciences. Volume 42:Issue 1(2021)
• Page Start: 17
• Page End: 27
• Publication Date: 2021-01-02
• Subjects: 62E17; Normal distribution -- Approximation -- Maximum absolute error -- Mean absolute error; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2019.1661642
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: In this paper, a new approximation for the standard normal cumulative distribution function, Φ( z ) is proposed. The maximum absolute error ( MAE ) of the proposed approximation is 9.37935 × 10 −6 . Comparisons with some existing approximations based on the MAE and mean absolute error (MEAE) are also given. The results show that the proposed approximation is simple and has an acceptable accuracy.