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Information Journal Paper

Title

APPROXIMATIONS TO THE NORMAL DISTRIBUTION FUNCTION AND AN EXTENDED TABLE FOR THE MEAN RANGE OF THE NORMAL VARIABLES

Pages

  57-72

Abstract

 This article presents a formula and a series for approximating 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 superior 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.

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    • Cite

    APA: Copy

    KIANI, M., PANARETOS, J., PSARAKIS, S., & SALEEM, M.. (2008). APPROXIMATIONS TO THE NORMAL DISTRIBUTION FUNCTION AND AN EXTENDED TABLE FOR THE MEAN RANGE OF THE NORMAL VARIABLES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 7(1-2), 57-72. SID. https://sid.ir/paper/117879/en

    Vancouver: Copy

    KIANI M., PANARETOS J., PSARAKIS S., SALEEM M.. APPROXIMATIONS TO THE NORMAL DISTRIBUTION FUNCTION AND AN EXTENDED TABLE FOR THE MEAN RANGE OF THE NORMAL VARIABLES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2008;7(1-2):57-72. Available from: https://sid.ir/paper/117879/en

    IEEE: Copy

    M. KIANI, J. PANARETOS, S. PSARAKIS, and M. SALEEM, “APPROXIMATIONS TO THE NORMAL DISTRIBUTION FUNCTION AND AN EXTENDED TABLE FOR THE MEAN RANGE OF THE NORMAL VARIABLES,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 7, no. 1-2, pp. 57–72, 2008, [Online]. Available: https://sid.ir/paper/117879/en

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