Stochastic Generator of a New Family of Lifetime Distributions with Illustration
In this article, a new family of lifetime distributions is introduced to help researchers model different types of data sets. Furthermore, the maximum likelihood method was used in estimating the model's parameters. Some structural properties of the distribution have been derived and studied....
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Instituto Nacional de Estatística | Statistics Portugal
2025-02-01
|
| Series: | Revstat Statistical Journal |
| Subjects: | |
| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/469 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832086596929716224 |
|---|---|
| author | Amjad Al-Nasser Ahmad Hanandeh |
| author_facet | Amjad Al-Nasser Ahmad Hanandeh |
| author_sort | Amjad Al-Nasser |
| collection | DOAJ |
| description |
In this article, a new family of lifetime distributions is introduced to help researchers model different types of data sets. Furthermore, the maximum likelihood method was used in estimating the model's parameters. Some structural properties of the distribution have been derived and studied. These are density function, distribution function, and reliability function, hazard rate function, moments, moment generating function, entropies, order statistics, Bonferroni and Lorenz curves. Simulation method was used to investigate the behaviors of the parameters of the proposed distribution; the results showed that the mean square error and standard error for the chosen parameter values decrease as the sample size increases. The proposed distribution was tested on real-life data, the results showed that the ET-exponential distribution performed better than other well-known distributions in modeling data. The results also showed that the distribution can be used as an alternative model in modeling lifetime processes.
|
| format | Article |
| id | doaj-art-c24f5231b9b948488d6ac69512acffff |
| institution | Kabale University |
| issn | 1645-6726 2183-0371 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj-art-c24f5231b9b948488d6ac69512acffff2025-02-06T10:52:22ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712025-02-0123110.57805/revstat.v23i1.469Stochastic Generator of a New Family of Lifetime Distributions with IllustrationAmjad Al-Nasser0Ahmad Hanandeh1Yarmouk UniversityYarmouk University In this article, a new family of lifetime distributions is introduced to help researchers model different types of data sets. Furthermore, the maximum likelihood method was used in estimating the model's parameters. Some structural properties of the distribution have been derived and studied. These are density function, distribution function, and reliability function, hazard rate function, moments, moment generating function, entropies, order statistics, Bonferroni and Lorenz curves. Simulation method was used to investigate the behaviors of the parameters of the proposed distribution; the results showed that the mean square error and standard error for the chosen parameter values decrease as the sample size increases. The proposed distribution was tested on real-life data, the results showed that the ET-exponential distribution performed better than other well-known distributions in modeling data. The results also showed that the distribution can be used as an alternative model in modeling lifetime processes. https://revstat.ine.pt/index.php/REVSTAT/article/view/469lifetime distributionmaximum Likelihoodmeans square errorparametersquantile function |
| spellingShingle | Amjad Al-Nasser Ahmad Hanandeh Stochastic Generator of a New Family of Lifetime Distributions with Illustration Revstat Statistical Journal lifetime distribution maximum Likelihood means square error parameters quantile function |
| title | Stochastic Generator of a New Family of Lifetime Distributions with Illustration |
| title_full | Stochastic Generator of a New Family of Lifetime Distributions with Illustration |
| title_fullStr | Stochastic Generator of a New Family of Lifetime Distributions with Illustration |
| title_full_unstemmed | Stochastic Generator of a New Family of Lifetime Distributions with Illustration |
| title_short | Stochastic Generator of a New Family of Lifetime Distributions with Illustration |
| title_sort | stochastic generator of a new family of lifetime distributions with illustration |
| topic | lifetime distribution maximum Likelihood means square error parameters quantile function |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/469 |
| work_keys_str_mv | AT amjadalnasser stochasticgeneratorofanewfamilyoflifetimedistributionswithillustration AT ahmadhanandeh stochasticgeneratorofanewfamilyoflifetimedistributionswithillustration |