@article { author = {Behboodian, Javad and Sharafi, Maryam and Sajjadnia, Zahra and Zarepour, Mazyar}, title = {The bimodal standard normal density and kurtosis}, journal = {AUT Journal of Mathematics and Computing}, volume = {1}, number = {1}, pages = {17-25}, year = {2020}, publisher = {Amirkabir University of Technology}, issn = {2783-2449}, eissn = {2783-2287}, doi = {10.22060/ajmc.2018.3040}, 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 = {normal density,mixed normal density,bimodal standard normal density,kurtosis of a bimodal density}, url = {https://ajmc.aut.ac.ir/article_3040.html}, eprint = {https://ajmc.aut.ac.ir/article_3040_cba0b169b1d9096e97113d867cacd623.pdf} }