A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology
In this paper, a new two-parameter generalized Ramos–Louzada distribution is proposed. The proposed model provides more flexibility in modeling data with increasing, decreasing, J-shaped, and reversed-J shaped hazard rate functions. Several statistical properties of the model were derived. The unkno...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/87612/1/ABSTRACT.pdf |
| _version_ | 1796981866471882752 |
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| author | Al-Mofleh, Hazem Afify, Ahmed Z. Ibrahim, Noor Akma |
| author_facet | Al-Mofleh, Hazem Afify, Ahmed Z. Ibrahim, Noor Akma |
| author_sort | Al-Mofleh, Hazem |
| collection | UPM |
| description | In this paper, a new two-parameter generalized Ramos–Louzada distribution is proposed. The proposed model provides more flexibility in modeling data with increasing, decreasing, J-shaped, and reversed-J shaped hazard rate functions. Several statistical properties of the model were derived. The unknown parameters of the new distribution were explored using eight frequentist estimation approaches. These approaches are important for developing guidelines to choose the best method of estimation for the model parameters, which would be of great interest to practitioners and applied statisticians. Detailed numerical simulations are presented to examine the bias and the mean square error of the proposed estimators. The best estimation method and ordering performance of the estimators were determined using the partial and overall ranks of all estimation methods for various parameter combinations. The performance of the proposed distribution is illustrated using two real datasets from the fields of medicine and geology, and both datasets show that the new model is more appropriate as compared to the Marshall–Olkin exponential, exponentiated exponential, beta exponential, gamma, Poisson–Lomax, Lindley geometric, generalized Lindley, and Lindley distributions, among others. |
| first_indexed | 2024-03-06T10:43:55Z |
| format | Article |
| id | upm.eprints-87612 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:43:55Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | upm.eprints-876122022-07-06T08:08:25Z http://psasir.upm.edu.my/id/eprint/87612/ A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology Al-Mofleh, Hazem Afify, Ahmed Z. Ibrahim, Noor Akma In this paper, a new two-parameter generalized Ramos–Louzada distribution is proposed. The proposed model provides more flexibility in modeling data with increasing, decreasing, J-shaped, and reversed-J shaped hazard rate functions. Several statistical properties of the model were derived. The unknown parameters of the new distribution were explored using eight frequentist estimation approaches. These approaches are important for developing guidelines to choose the best method of estimation for the model parameters, which would be of great interest to practitioners and applied statisticians. Detailed numerical simulations are presented to examine the bias and the mean square error of the proposed estimators. The best estimation method and ordering performance of the estimators were determined using the partial and overall ranks of all estimation methods for various parameter combinations. The performance of the proposed distribution is illustrated using two real datasets from the fields of medicine and geology, and both datasets show that the new model is more appropriate as compared to the Marshall–Olkin exponential, exponentiated exponential, beta exponential, gamma, Poisson–Lomax, Lindley geometric, generalized Lindley, and Lindley distributions, among others. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/87612/1/ABSTRACT.pdf Al-Mofleh, Hazem and Afify, Ahmed Z. and Ibrahim, Noor Akma (2020) A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology. Mathematics, 8 (9). art. no. 1578. pp. 1-20. ISSN 2227-7390 https://www.mdpi.com/2227-7390/8/9/1578 10.3390/math8091578 |
| spellingShingle | Al-Mofleh, Hazem Afify, Ahmed Z. Ibrahim, Noor Akma A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology |
| title | A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology |
| title_full | A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology |
| title_fullStr | A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology |
| title_full_unstemmed | A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology |
| title_short | A new extended two-parameter distribution: properties, estimation methods, and applications in medicine and geology |
| title_sort | new extended two parameter distribution properties estimation methods and applications in medicine and geology |
| url | http://psasir.upm.edu.my/id/eprint/87612/1/ABSTRACT.pdf |
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