The bimodal standard normal density and kurtosis

AUT Journal of Mathematics and Computing(2020)

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摘要
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.
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关键词
normal density,mixed normal density,bimodal standard normal density,kurtosis of a bimodal density
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