Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression
In this paper, we introduce a new three-parameter distribution defined on the unit interval. The density function of the distribution exhibits different kinds of shapes such as decreasing, increasing, left skewed, right skewed, and approximately symmetric. The failure rate function shows increasing,...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/9955657 |
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| _version_ | 1832552527152807936 |
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| author | Suleman Nasiru Abdul Ghaniyyu Abubakari Irene Dekomwine Angbing |
| author_facet | Suleman Nasiru Abdul Ghaniyyu Abubakari Irene Dekomwine Angbing |
| author_sort | Suleman Nasiru |
| collection | DOAJ |
| description | In this paper, we introduce a new three-parameter distribution defined on the unit interval. The density function of the distribution exhibits different kinds of shapes such as decreasing, increasing, left skewed, right skewed, and approximately symmetric. The failure rate function shows increasing, bathtub, and modified upside-down bathtub shapes. Six different frequentist estimation procedures were proposed for estimating the parameters of the distribution and their performance assessed via Monte Carlo simulations. Applications of the distribution were illustrated by analyzing two datasets and its fit compared to that of other distributions defined on the unit interval. Finally, we developed a regression model for a response variable that follows the new distribution. |
| format | Article |
| id | doaj-art-c4dff3ee3e0a401cbac6bea1d07f45bf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c4dff3ee3e0a401cbac6bea1d07f45bf2025-02-03T05:58:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252021-01-01202110.1155/2021/99556579955657Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and RegressionSuleman Nasiru0Abdul Ghaniyyu Abubakari1Irene Dekomwine Angbing2Department of Statistics, Faculty of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, GhanaDepartment of Statistics, Faculty of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, GhanaDepartment of Statistics, Faculty of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, GhanaIn this paper, we introduce a new three-parameter distribution defined on the unit interval. The density function of the distribution exhibits different kinds of shapes such as decreasing, increasing, left skewed, right skewed, and approximately symmetric. The failure rate function shows increasing, bathtub, and modified upside-down bathtub shapes. Six different frequentist estimation procedures were proposed for estimating the parameters of the distribution and their performance assessed via Monte Carlo simulations. Applications of the distribution were illustrated by analyzing two datasets and its fit compared to that of other distributions defined on the unit interval. Finally, we developed a regression model for a response variable that follows the new distribution.http://dx.doi.org/10.1155/2021/9955657 |
| spellingShingle | Suleman Nasiru Abdul Ghaniyyu Abubakari Irene Dekomwine Angbing Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression International Journal of Mathematics and Mathematical Sciences |
| title | Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression |
| title_full | Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression |
| title_fullStr | Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression |
| title_full_unstemmed | Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression |
| title_short | Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression |
| title_sort | bounded odd inverse pareto exponential distribution properties estimation and regression |
| url | http://dx.doi.org/10.1155/2021/9955657 |
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