|
|
 |
| |
|
|
|
New Skewed Tail Gompertz Distribution with Different Estimation Methods and Applications to Engineering Data |
|
|
|
PP: 787-804 |
|
|
|
doi:10.18576/jsap/140508
|
|
|
|
Author(s) |
|
|
|
Saeed E. Hemeda,
Gaber Sallam Salem Abdalla,
Khalaf H. Al-Habib,
Hisham A. Gamel,
Ahmed S. Abdelzaher,
Suleman Nasiru,
|
|
|
|
Abstract |
|
|
| Gompertz is one of the important continuous distributions that is often applied to describe the distribution of adult lifespans by demographers and actuaries. Related fields of science such as biology, and gerontology, also considered the Gompertz distribution for survival analysis. In this study, a new Gompertz distribution with four parameters was proposed according to the truncated Nadarajah- Haghighi-G family to obtain a more flexible distribution, some statistical properties for the latest model where introduced, different shapes for CDF and PDF given with two- and three-dimension plot. To verify the aim of the study, two data sets were applied to illustrate flexibility for the proposed distribution compared with some statistical distributions, published in the literature according to information standards such as AIC, CAIC, BIC, and HQIC. The research produced encouraging results that could help statistical work and data analysis. |
|
|
|
|
|
|
|
