Open AccessA New One-term Approximation to the Standard Normal Distribution
Author(s) -
Ahmad Hanandeh,
Omar Eidous
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i2.3556
Subject(s) - mathematics , approximation error , term (time) , simple (philosophy) , spouge's approximation , representation (politics) , cumulative distribution function , distribution (mathematics) , mathematical analysis , statistics , probability density function , philosophy , physics , epistemology , quantum mechanics , politics , political science , law
This paper deals with a new, simple one-term approximation to the cumulative distribution function (c.d.f) of the standard normal distribution which does not have closed form representation. The accuracy of the proposed approximation measured using maximum absolute error (M.S.E) and the same criteria is used to compare this approximation with the existing one-term approximation approaches available in the literature. Our approximation has a maximum absolute error of about 0.0016 and this accuracy is sufficient for most practical applications.