Inequalities and approximate functions of the normal distribution cumulative function

Dawei Tang, Zhizhuo Cai
2019 Figshare  
In this paper, two sets of inequalities are obtained by a property of a function, and then two approximate elementary functions of the normal distribution cumulative function are found.Their simplicity is easy to remember and easy to calculate. The maximum absolute errors of the two approximate functions are 0.0039 and 0.0017.The accuracy can meet the needs of engineering practices.
doi:10.6084/m9.figshare.11447601 fatcat:f5sd6foambedpcv6ximgi5mcri