The bimodal standard normal density and kurtosis

Document Type : Original Article

Authors

1 Department of Statistics, School of Science, Shiraz University, Shiraz, Iran

2 Department of Mathematics, Islamic Azad University, Shiraz Branch, Shiraz, Iran

Abstract

 In this article, first a density by the name ”The bimodal standard normal density” is introduced and denoted by $b\varphi(z)$. Then, a definition for the kurtosis of bimodal densities relative to $b\varphi(z)$ is presented. Finally, to illustrate the introduced kurtosis, a few examples are provided and a real data set is studied, too.

Keywords

References

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[4] M. Sharafi, Z. Sajjadnia, J. Behboodian, A new generalization of alpha-skew-normal distribution, Communication in Statistics, Theory and Method, 46, (2017), 6098–6111.
[5] J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Spring Verlag, New York, 1991.
AUT Journal of Mathematics and Computing
Volume 1, Issue 1
February 2020
Pages 17-25

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