TY  - JOUR
T1  - Study of New Mixture Distribution
AU - Jalil Mohammed, Maysaa AU - Hasan Hussein, Iden 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 20
SP  - 7566
EP  - 7573
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.7566.7573
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.7566.7573
KW  - Exponential distribution
KW  -Rayleigh distribution
KW  -standard Weibull distribution
KW  -moments
KW  -quantile
function
KW  -characteristic function
AB  - 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 r<sup>th</sup> moment, incomplete moment, the
moment generating function and characteristic function. Finally, obtaining the quantile function and any other
statistical properties.
ER  -