| Title |
On the Four-Parameter T-extended Standard U-quadratic Exponentiated Weibull distribution |
|
Authors |
Lakibul, I. A. and Tubo, Bernadette F. |
|
Publication date |
2023 |
|
Journal |
The Mindanawan Journal of Mathematics |
| Volume |
5 |
| Issue |
1 |
| Pages |
17-33 |
| Publisher |
Department of Mathematics and Statistics MSU-IIT |
| Abstract |
This paper identifies the characteristics of a three-parameter distribution which is an extension of the Exponentiated Weibull distribution (ExW) introduced by Pal, et al. in 2006 [18] and Mudholkar and Srivastava in 1993 [15]. This extended distribution is labeled as T-extended Standard U-quadratic Exponentiated Weibull distribution (TeSU-ExW). The proposed distribution uses the properties of the U-quadratic distribution and the Transformed Transformer family of distributions in its derivation. Let X be a random variable that follows an ExW distribution with scale parameter 位 and shape parameters 尾 and 纬. This study derives the cumulative distribution function (cdf) and the corresponding probability density function (pdf) of TeSU-ExW. Moreover, properties such as its moment, moment generating function, mean, median, mode and variance are also obtained in this paper. |
| Index terms / Keywords |
Weibull distribution, T-extended Standard U-quadratic Exponentiated (TeSU) Weibull distribution, U-quadratic distribution, Transformed Transformer family of distributions |
| DOI |
|
Mindanao State
University - Iligan Institute of Technology