A versatile family of distributions: Log-linear regression model and applications to real data
This article introduces a tractable generator for constructing flexible families of continuous distributions called the exponent-G-M (ExpG-M). Properties of the defined models generator are studied such as moments, mean deviation, moment of residual life, entropy, and order statistics. The ExpG-M mo...
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| Format: | Article |
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| Language: | English |
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Elsevier
2025-04-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://www.sciencedirect.com/science/article/pii/S230741082500029X |
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| collection | DOAJ |
| description | This article introduces a tractable generator for constructing flexible families of continuous distributions called the exponent-G-M (ExpG-M). Properties of the defined models generator are studied such as moments, mean deviation, moment of residual life, entropy, and order statistics. The ExpG-M model's parameter was estimated using both maximum likelihood estimation (MLE) and Bayesian estimation (BE) methods with a square error loss function, also assessed through Monte Carlo simulation studies. A special member called exponent generalized exponential-exponential distribution (ExpGE-E) is discussed; a related log-regression model based on ExpGE-E is introduced. Applications of the ExpGE-E and its regression model to real-life datasets shows that the proposed models have better modeling abilities than many competing distributions. © 2025 The Authors |
| format | Article |
| id | doaj-art-bdeed08615cc4b20a8b8a1db4eeff73c |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-bdeed08615cc4b20a8b8a1db4eeff73c2025-08-20T03:47:21ZengElsevierKuwait Journal of Science2307-41082307-41162025-04-0152210038510.1016/j.kjs.2025.100385A versatile family of distributions: Log-linear regression model and applications to real dataThis article introduces a tractable generator for constructing flexible families of continuous distributions called the exponent-G-M (ExpG-M). Properties of the defined models generator are studied such as moments, mean deviation, moment of residual life, entropy, and order statistics. The ExpG-M model's parameter was estimated using both maximum likelihood estimation (MLE) and Bayesian estimation (BE) methods with a square error loss function, also assessed through Monte Carlo simulation studies. A special member called exponent generalized exponential-exponential distribution (ExpGE-E) is discussed; a related log-regression model based on ExpGE-E is introduced. Applications of the ExpGE-E and its regression model to real-life datasets shows that the proposed models have better modeling abilities than many competing distributions. © 2025 The Authorshttps://www.sciencedirect.com/science/article/pii/S230741082500029Xbayes estimationentropylog-regression modelmaximum likelihood estimationmomentssimulationt-x families |
| spellingShingle | A versatile family of distributions: Log-linear regression model and applications to real data Kuwait Journal of Science bayes estimation entropy log-regression model maximum likelihood estimation moments simulation t-x families |
| title | A versatile family of distributions: Log-linear regression model and applications to real data |
| title_full | A versatile family of distributions: Log-linear regression model and applications to real data |
| title_fullStr | A versatile family of distributions: Log-linear regression model and applications to real data |
| title_full_unstemmed | A versatile family of distributions: Log-linear regression model and applications to real data |
| title_short | A versatile family of distributions: Log-linear regression model and applications to real data |
| title_sort | versatile family of distributions log linear regression model and applications to real data |
| topic | bayes estimation entropy log-regression model maximum likelihood estimation moments simulation t-x families |
| url | https://www.sciencedirect.com/science/article/pii/S230741082500029X |