The bimodal standard normal density and kurtosis

Document Type : Original Article


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

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


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


Main Subjects