Kiani, M and Panaretos, J and Psarakis, S and Saleem, M (2008): Approximations to the Normal Distribution Function and An Extended Table for the Mean Range of the Normal Variables. Published in: Journal of the Iranian Statistical Society , Vol. 7, No. 12 (2008): pp. 5772.

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Abstract
This article presents a formula and a series for approx¬imating the normal distribution function. Over the whole range of the normal variable z, the proposed formula has the greatest absolute error less than 6.5e  09, and series has a very high accuracy. We examine the accuracy of our proposed formula and series for various values of z’s. In the sense of accuracy, our formula and series are su¬perior to other formulae and series available in the literature. Based on the proposed formula an extended table for the mean range of the normal variables is established.
Item Type:  MPRA Paper 

Original Title:  Approximations to the Normal Distribution Function and An Extended Table for the Mean Range of the Normal Variables 
Language:  English 
Keywords:  Accuracy, error Function, normal Distribution 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C00  General 
Item ID:  68045 
Depositing User:  J Panaretos 
Date Deposited:  25 Nov 2015 16:25 
Last Modified:  26 Sep 2019 08:12 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/68045 