Authors : Maysaa Jalil Mohammed and Iden Hasan Hussein
Abstract: This research is present the structure of a new mixture distribution by incorporating three distributions which have one parameter by utilizing the cumulative function of exponential pdf, standard Weibull pdf and Rayliegh pdf which is defined by "New Mixture Distribution". The method of mixing contains two main parts: The first part includes the process of mixing the distribution of exponential and rayliegh depending on the tail in each of them as well. The second part mixing the exponential and Weibull depending on the tail in each of them as well. Here, the exponential plays a big role in the mixing process in both parts. Based on the results of the first and second parts of the blending process, the new distribution was obtained. Moreover, realizing the mathematical and statistical properties of it. Furthermore, explaining the shapes of the density function and hazard rate function. Also, our investigation of rth moment, incomplete moment, the moment generating function and characteristic function. Finally, obtaining the quantile function and any other statistical properties.
Maysaa Jalil Mohammed and Iden Hasan Hussein, 2019. Study of New Mixture Distribution. Journal of Engineering and Applied Sciences, 14: 7566-7573.