| Title |
On the TeSU-G family of distributions applied to life data analysis |
|
Authors |
Lakibul, Idzhar A.; Tubo, Bernadette F. |
|
Publication date |
2023/06 |
|
Journal |
Reliability: Theory & Applications |
| Volume |
18 |
| Issue |
2 |
| Pages |
24-38 |
| Publisher |
Reliability:Theory & Applications (ISSN 1932-2321) |
| Abstract |
This paper derives distributions from the U-quadratic and the T-X family of distributions labeled as the T-extended Standard U-quadratic-G family of distributions or simply, TeSU-G family. In particular, the TeSU-Weibull distribution (TeSU-W) is explored with respect to some statistical properties such as its limiting distribution, moment, mean and variance and moment generating function. Also, the statistical properties of the TeSU-Exponential distribution (TeSU-E) which is a special case of the TeSU-W are also derived. The Weibull and Exponential distributions are mostly used in life data analysis because of its ability to adapt to different situations. Moreover, the formula for the median is derived via a proposed algorithm. Simulation study is conducted to verify the performance of the ML estimates of the TeSU-W distribution for varied sample sizes. Further, real life data analysis reveals that derived extended distribution can provide a better fit than several well-known distributions. |
| Index terms / Keywords |
U-quadratic distribution, T-X family of distributions, Weibull distribution |
| DOI |
|
Mindanao State
University - Iligan Institute of Technology