Power unit exponential probability distribution: Statistical inference and applications
We introduce a generalized version of a unit distribution called power unit exponential probability distribution (PUEPrD) using the power transformation of the unit exponential probability distribution. Some statistical properties of the proposed distribution are derived. For some selected parameter...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-11-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824007579 |
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| author | Najwan Alsadat Caner Taniş Laxmi Prasad Sapkota Rajitha C.S. Mahmoud Mohamed Bahloul Ahmed M. Gemeay |
| author_facet | Najwan Alsadat Caner Taniş Laxmi Prasad Sapkota Rajitha C.S. Mahmoud Mohamed Bahloul Ahmed M. Gemeay |
| author_sort | Najwan Alsadat |
| collection | DOAJ |
| description | We introduce a generalized version of a unit distribution called power unit exponential probability distribution (PUEPrD) using the power transformation of the unit exponential probability distribution. Some statistical properties of the proposed distribution are derived. For some selected parameter cases, we have demonstrated that the hazard function of the proposed distribution can be shaped by increasing and bathtub curves. Twelve estimation methods such as maximum likelihood, Anderson–Darling, Cramer–von-Mises, maximum product spacings, least squares, weighted least squares, right tail Anderson Darling, left-tail Anderson Darling, minimum spacing absolute distance, minimum spacing absolute-log distance, Anderson Darling left-tail second order, Kolmogorov are used to estimate the parameters of the suggested distribution. A numerical simulation study is conducted to check the efficiency of the parameter estimates of the proposed model. With the help of some real-life data sets, the flexibility and usefulness of the PUEPrD are illustrated. As a result of two real data analyses, we observe that the fit of the proposed distribution to the data is superior to its competitors according to the examined criteria. |
| format | Article |
| id | doaj-art-b82185c7b01c42a9a2f621a33e102194 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-b82185c7b01c42a9a2f621a33e1021942024-11-15T06:11:11ZengElsevierAlexandria Engineering Journal1110-01682024-11-01107332346Power unit exponential probability distribution: Statistical inference and applicationsNajwan Alsadat0Caner Taniş1Laxmi Prasad Sapkota2Rajitha C.S.3Mahmoud Mohamed Bahloul4Ahmed M. Gemeay5Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi ArabiaDepartment of Statistics, Çankırı Karatekin University, Çankırı, TurkeyDepartment of Statistics, Tribhuvan University, Tribhuvan Multiple Campus, Palpa, NepalDepartment of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore 641112, IndiaInformation Systems Department, Faculty of Commerce and Business Administration, Helwan University, Cairo, EgyptDepartment of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt; Corresponding author.We introduce a generalized version of a unit distribution called power unit exponential probability distribution (PUEPrD) using the power transformation of the unit exponential probability distribution. Some statistical properties of the proposed distribution are derived. For some selected parameter cases, we have demonstrated that the hazard function of the proposed distribution can be shaped by increasing and bathtub curves. Twelve estimation methods such as maximum likelihood, Anderson–Darling, Cramer–von-Mises, maximum product spacings, least squares, weighted least squares, right tail Anderson Darling, left-tail Anderson Darling, minimum spacing absolute distance, minimum spacing absolute-log distance, Anderson Darling left-tail second order, Kolmogorov are used to estimate the parameters of the suggested distribution. A numerical simulation study is conducted to check the efficiency of the parameter estimates of the proposed model. With the help of some real-life data sets, the flexibility and usefulness of the PUEPrD are illustrated. As a result of two real data analyses, we observe that the fit of the proposed distribution to the data is superior to its competitors according to the examined criteria.http://www.sciencedirect.com/science/article/pii/S1110016824007579Unit exponentialPower transformationEstimationGoodness-of-fit |
| spellingShingle | Najwan Alsadat Caner Taniş Laxmi Prasad Sapkota Rajitha C.S. Mahmoud Mohamed Bahloul Ahmed M. Gemeay Power unit exponential probability distribution: Statistical inference and applications Alexandria Engineering Journal Unit exponential Power transformation Estimation Goodness-of-fit |
| title | Power unit exponential probability distribution: Statistical inference and applications |
| title_full | Power unit exponential probability distribution: Statistical inference and applications |
| title_fullStr | Power unit exponential probability distribution: Statistical inference and applications |
| title_full_unstemmed | Power unit exponential probability distribution: Statistical inference and applications |
| title_short | Power unit exponential probability distribution: Statistical inference and applications |
| title_sort | power unit exponential probability distribution statistical inference and applications |
| topic | Unit exponential Power transformation Estimation Goodness-of-fit |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824007579 |
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