Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring
This paper introduces the new novel four-parameter Weibull distribution named as the Marshall–Olkin alpha power Weibull (MOAPW) distribution. Some statistical properties of the distribution are examined. Based on Type-I censored and Type-II censored samples, maximum likelihood estimation (MLE), maxi...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5533799 |
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| _version_ | 1832560008171094016 |
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| author | Ehab M. Almetwally Mohamed A. H. Sabry Randa Alharbi Dalia Alnagar Sh. A. M. Mubarak E. H. Hafez |
| author_facet | Ehab M. Almetwally Mohamed A. H. Sabry Randa Alharbi Dalia Alnagar Sh. A. M. Mubarak E. H. Hafez |
| author_sort | Ehab M. Almetwally |
| collection | DOAJ |
| description | This paper introduces the new novel four-parameter Weibull distribution named as the Marshall–Olkin alpha power Weibull (MOAPW) distribution. Some statistical properties of the distribution are examined. Based on Type-I censored and Type-II censored samples, maximum likelihood estimation (MLE), maximum product spacing (MPS), and Bayesian estimation for the MOAPW distribution parameters are discussed. Numerical analysis using real data sets and Monte Carlo simulation are accomplished to compare various estimation methods. This novel model’s supremacy upon some famous distributions is explained using two real data sets and it is shown that the MOAPW model can achieve better fits than other competitive distributions. |
| format | Article |
| id | doaj-art-eb005d6f37d9485fa85dd6d2f347ae83 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-eb005d6f37d9485fa85dd6d2f347ae832025-02-03T01:28:44ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55337995533799Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II CensoringEhab M. Almetwally0Mohamed A. H. Sabry1Randa Alharbi2Dalia Alnagar3Sh. A. M. Mubarak4E. H. Hafez5Faculty of Business Administration, Delta University of Science and Technology, Mansoura, EgyptFaculty of Graduate Studies for Statistical Research, Cairo University, Giza, EgyptDepartment of Statistics, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Statistics, University of Tabuk, Tabuk, Saudi ArabiaHigh Institute of Engineering and Technology, Ministry of Higher Education, El-Minia, EgyptDepartment of Mathematics, Faculty of Science, Helwan University, Cairo, EgyptThis paper introduces the new novel four-parameter Weibull distribution named as the Marshall–Olkin alpha power Weibull (MOAPW) distribution. Some statistical properties of the distribution are examined. Based on Type-I censored and Type-II censored samples, maximum likelihood estimation (MLE), maximum product spacing (MPS), and Bayesian estimation for the MOAPW distribution parameters are discussed. Numerical analysis using real data sets and Monte Carlo simulation are accomplished to compare various estimation methods. This novel model’s supremacy upon some famous distributions is explained using two real data sets and it is shown that the MOAPW model can achieve better fits than other competitive distributions.http://dx.doi.org/10.1155/2021/5533799 |
| spellingShingle | Ehab M. Almetwally Mohamed A. H. Sabry Randa Alharbi Dalia Alnagar Sh. A. M. Mubarak E. H. Hafez Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring Complexity |
| title | Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring |
| title_full | Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring |
| title_fullStr | Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring |
| title_full_unstemmed | Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring |
| title_short | Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring |
| title_sort | marshall olkin alpha power weibull distribution different methods of estimation based on type i and type ii censoring |
| url | http://dx.doi.org/10.1155/2021/5533799 |
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