A New One-term Approximation to the Standard Normal Distribution.

This paper deals with a new simple one-term approximation to the cumulative distribution function (cdf) of the standard normal distribution which does not have a closed-form representation. The accuracy of the proposed approximation has been evaluated by using the maximum absolute error (MAE), which was about 0.0016 and this accuracy is sufficient for most practical applications. To compare the proposed approximation with some of the existing one-term approximations, the MAE measure was considered. In addition, the difference between the exact and approximation of the normal cdf was computed for specific values of the normal random variable. [ABSTRACT FROM AUTHOR]