A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution
This study discusses the posterior estimation for the parameters of the Burr type II distribution (BIID). The informative and noninformative priors along with different loss functions have also been assumed for the posterior estimation. The applicability of the proposed distribution has also been di...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6347192 |
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| author | R. Alshenawy Navid Feroze Ali Al-Alwan Mahreen Saleem Sahidul Islam |
| author_facet | R. Alshenawy Navid Feroze Ali Al-Alwan Mahreen Saleem Sahidul Islam |
| author_sort | R. Alshenawy |
| collection | DOAJ |
| description | This study discusses the posterior estimation for the parameters of the Burr type II distribution (BIID). The informative and noninformative priors along with different loss functions have also been assumed for the posterior estimation. The applicability of the proposed distribution has also been discussed. The modeling capability of the proposed model has been compared with seven classes of the lifetime distributions using real data. The generalizations of Weibull, exponential, Rayleigh, gamma, log normal, Pareto, Maxwell, Levy, Laplace, inverse gamma, Gompertz, chi-square, inverse chi-square, half normal, and log-logistic distributions have been considered for the comparison. The comparison has been made based on different goodness-of-fit criteria, such as Akaike information criteria (AIC), Bayesian information criteria (BIC), and Kolmogorov-Smirnov (KS) test. Based on the results from the study, it can be suggested that the BIID can efficiently replace commonly used lifetime distributions and their modifications. The results under this model were comparable with different conventional/modified distributions having up to six parameters. |
| format | Article |
| id | doaj-art-76254c7ec0eb4b75abf51c834f0afdd6 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-76254c7ec0eb4b75abf51c834f0afdd62025-08-20T03:35:32ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6347192A Family of Bayesian Estimators for the Two-Parametric Burr Type II DistributionR. Alshenawy0Navid Feroze1Ali Al-Alwan2Mahreen Saleem3Sahidul Islam4Department of Mathematics and StatisticsDepartment of StatisticsDepartment of Mathematics and StatisticsDepartment of StatisticsDepartment of MathematicsThis study discusses the posterior estimation for the parameters of the Burr type II distribution (BIID). The informative and noninformative priors along with different loss functions have also been assumed for the posterior estimation. The applicability of the proposed distribution has also been discussed. The modeling capability of the proposed model has been compared with seven classes of the lifetime distributions using real data. The generalizations of Weibull, exponential, Rayleigh, gamma, log normal, Pareto, Maxwell, Levy, Laplace, inverse gamma, Gompertz, chi-square, inverse chi-square, half normal, and log-logistic distributions have been considered for the comparison. The comparison has been made based on different goodness-of-fit criteria, such as Akaike information criteria (AIC), Bayesian information criteria (BIC), and Kolmogorov-Smirnov (KS) test. Based on the results from the study, it can be suggested that the BIID can efficiently replace commonly used lifetime distributions and their modifications. The results under this model were comparable with different conventional/modified distributions having up to six parameters.http://dx.doi.org/10.1155/2022/6347192 |
| spellingShingle | R. Alshenawy Navid Feroze Ali Al-Alwan Mahreen Saleem Sahidul Islam A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution Journal of Function Spaces |
| title | A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution |
| title_full | A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution |
| title_fullStr | A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution |
| title_full_unstemmed | A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution |
| title_short | A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution |
| title_sort | family of bayesian estimators for the two parametric burr type ii distribution |
| url | http://dx.doi.org/10.1155/2022/6347192 |
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