One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters
In this paper, we consider the problem of one-sided conditional and unconditional interval estimation for the scale and shape parameters in a two-parameter Weibull model. The statistical inference is based upon the pivots advocated in Bain and Engelhardt, the likelihood ratio method and Birnbaum sta...
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| Format: | Article |
| Language: | English |
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Universidad de Costa Rica
2012-03-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/251 |
| _version_ | 1797719858850299904 |
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| author | Smail Mahdi |
| author_facet | Smail Mahdi |
| author_sort | Smail Mahdi |
| collection | DOAJ |
| description | In this paper, we consider the problem of one-sided conditional and unconditional interval estimation for the scale and shape parameters in a two-parameter Weibull model. The statistical inference is based upon the pivots advocated in Bain and Engelhardt, the likelihood ratio method and Birnbaum statistic. Simulation results illustrating the performance of these interval estimating methods are discussed and displayed. Empirical point estimate results obtained with the maximum likelihood, generalized moment and generalized probability weighted moment methods are also
presented. |
| first_indexed | 2024-03-12T09:10:55Z |
| format | Article |
| id | doaj.art-7b8d6230fc6d4957a025051012e34d98 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T09:10:55Z |
| publishDate | 2012-03-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-7b8d6230fc6d4957a025051012e34d982023-09-02T14:58:54ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732012-03-01121-2617210.15517/rmta.v12i1-2.251236One-Sided Confidence Interval Estimation for Weibull Shape and Scale ParametersSmail Mahdi0University of the West Indies, Department of Computer Science, Mathematics & PhysicsIn this paper, we consider the problem of one-sided conditional and unconditional interval estimation for the scale and shape parameters in a two-parameter Weibull model. The statistical inference is based upon the pivots advocated in Bain and Engelhardt, the likelihood ratio method and Birnbaum statistic. Simulation results illustrating the performance of these interval estimating methods are discussed and displayed. Empirical point estimate results obtained with the maximum likelihood, generalized moment and generalized probability weighted moment methods are also presented.https://revistas.ucr.ac.cr/index.php/matematica/article/view/251 |
| spellingShingle | Smail Mahdi One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters Revista de Matemática: Teoría y Aplicaciones |
| title | One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters |
| title_full | One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters |
| title_fullStr | One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters |
| title_full_unstemmed | One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters |
| title_short | One-Sided Confidence Interval Estimation for Weibull Shape and Scale Parameters |
| title_sort | one sided confidence interval estimation for weibull shape and scale parameters |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/251 |
| work_keys_str_mv | AT smailmahdi onesidedconfidenceintervalestimationforweibullshapeandscaleparameters |