## A New Weibull-Exponential Distribution with Properties and Applications

Published: 2024-07-25

Page: 40-52

Ifeanyi C. Anabike

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

Jachike C. Okoli

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

Prince O. Chukwuma

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

Chinyere P. Igbokwe

Department of Statistics, School of Science and Industrial Technology, Abia State Polytechnic, Aba, Abia State, Nigeria.

Divine-Favour N. Ekemezie

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

Precious O. Ibeakuzie *

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

*Author to whom correspondence should be addressed.

### Abstract

In this article, we introduced a new distribution referred to as a New Weibull Exponential Distribution (NWED) by extending the exponential distribution using the new Weibull-X family of distributions. The new distribution extended the exponential distribution by introducing additional shape parameter, making the extended distribution more exible and with better goodness of fit. The properties of the model was studied namely the moment with some of its measures, the quantile function and the order statistics. The estimation of the parameters was done using the maximum likelihood method. The model was applied to two real-life datasets and it was found that the new model performed better than the classical Weibull and gamma distributions. For the airplane windshield failure times data, the p-values are such that of NWED > Weibull > Gamma. The same is applicable to the data on the failure times of 50 product reliability during the design stage.

Keywords: Estimation, goodness of fit, new weibull exponential distribution, new Weibull-X family

#### How to Cite

Anabike, I. C., Okoli, J. C., Chukwuma, P. O., Igbokwe, C. P., Ekemezie, D.-F. N., & Ibeakuzie, P. O. (2024). A New Weibull-Exponential Distribution with Properties and Applications. Asian Journal of Mathematics and Computer Research, 31(3), 40–52. https://doi.org/10.56557/ajomcor/2024/v31i38787