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. 1-2
(2008): pp. 57-72.

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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.uni-muenchen.de/id/eprint/68045 |