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Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications.
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- Author(s): Gemeay, Ahmed M.; Karakaya, Kadir; Bakr, M. E.; Balogun, Oluwafemi Samson; Atchadé, Mintodê Nicodème; Hussam, Eslam
- Source:
AIP Advances; Sep2023, Vol. 13 Issue 9, p1-23, 23p- Subject Terms:
- Source:
- Additional Information
- Abstract: Here, we present a new bounded distribution known as the power Lambert uniform distribution, and we deduce some of its statistical properties such as quantile function, moments, incomplete moments, mean residual life and mean inactivity time, Lorenz, Bonferroni, and Zenga curves, and order statistics. We presented different shapes of the probability density function and the hazard function of the proposed model. Eleven traditional methods are used to estimate its parameters. The behavior of these estimators is investigated using simulation results. Some actuarial measures are derived mathematically for our proposed model. Some numerical computations for these actuarial measures are given for some choices of parameters and significance levels. A new quantile regression model is constructed based on the new unit distribution. The maximum likelihood estimation method is used to estimate the unknown parameters of the regression model. Furthermore, the usability of the new distribution and regression models is demonstrated with the COVID-19 and educational datasets, respectively. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of AIP Advances is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Abstract:
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