Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics
The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/512039 |
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| _version_ | 1832562956400852992 |
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| author | Chansoo Kim Woosuk Kim |
| author_facet | Chansoo Kim Woosuk Kim |
| author_sort | Chansoo Kim |
| collection | DOAJ |
| description | The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution is obtained. Also, an approximation based on Lindley is used to obtain the Bayes estimator. To compare the maximum likelihood estimator and the Bayes estimator of the parameters, Monte Carlo simulation study is performed. |
| format | Article |
| id | doaj-art-794a9b74e2044956a33fb8cd214deed1 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-794a9b74e2044956a33fb8cd214deed12025-02-03T01:21:19ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/512039512039Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order StatisticsChansoo Kim0Woosuk Kim1Department of Applied Mathematics, Kongju National University, Gongju 314-701, Republic of KoreaDepartment of Statistics and Actuarial Science, University of Iowa, Iowa City, IA 52242-1409, USAThe estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution is obtained. Also, an approximation based on Lindley is used to obtain the Bayes estimator. To compare the maximum likelihood estimator and the Bayes estimator of the parameters, Monte Carlo simulation study is performed.http://dx.doi.org/10.1155/2014/512039 |
| spellingShingle | Chansoo Kim Woosuk Kim Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics The Scientific World Journal |
| title | Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics |
| title_full | Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics |
| title_fullStr | Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics |
| title_full_unstemmed | Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics |
| title_short | Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics |
| title_sort | estimation of the parameters of burr type iii distribution based on dual generalized order statistics |
| url | http://dx.doi.org/10.1155/2014/512039 |
| work_keys_str_mv | AT chansookim estimationoftheparametersofburrtypeiiidistributionbasedondualgeneralizedorderstatistics AT woosukkim estimationoftheparametersofburrtypeiiidistributionbasedondualgeneralizedorderstatistics |