Statistical inferences with jointly type-II censored samples from two Pareto distributions
In the several fields of industries the product comes from more than one production line, which is required to work the comparative life tests. This problem requires sampling of the different production lines, then the joint censoring scheme is appeared. In this article we consider the life time P...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-08-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2017-0064 |
| _version_ | 1818728916888584192 |
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| author | Abu-Zinadah Hanaa H. |
| author_facet | Abu-Zinadah Hanaa H. |
| author_sort | Abu-Zinadah Hanaa H. |
| collection | DOAJ |
| description | In the several fields of industries the product comes from more than one production line, which is required to work the comparative life tests. This problem requires sampling of the different production lines, then the joint censoring scheme is appeared. In this article we consider the life time Pareto distribution with jointly type-II censoring scheme. The maximum likelihood estimators (MLE) and the corresponding approximate confidence intervals as well as the bootstrap confidence intervals of the model parameters are obtained. Also Bayesian point and credible intervals of the model parameters are presented. The life time data set is analyzed for illustrative purposes. Monte Carlo results from simulation studies are presented to assess the performance of our proposed method. |
| first_indexed | 2024-12-17T22:37:36Z |
| format | Article |
| id | doaj.art-7ecb50e649c74a6ba15b9d73c5378472 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-17T22:37:36Z |
| publishDate | 2017-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-7ecb50e649c74a6ba15b9d73c53784722022-12-21T21:30:03ZengDe GruyterOpen Physics2391-54712017-08-0115155756510.1515/phys-2017-0064phys-2017-0064Statistical inferences with jointly type-II censored samples from two Pareto distributionsAbu-Zinadah Hanaa H.0Department of Statistics, Faculty of Science- AL Faisaliah, King Abdulaziz University, P.O. Box 32691, Jeddah21438Saudi ArabiaIn the several fields of industries the product comes from more than one production line, which is required to work the comparative life tests. This problem requires sampling of the different production lines, then the joint censoring scheme is appeared. In this article we consider the life time Pareto distribution with jointly type-II censoring scheme. The maximum likelihood estimators (MLE) and the corresponding approximate confidence intervals as well as the bootstrap confidence intervals of the model parameters are obtained. Also Bayesian point and credible intervals of the model parameters are presented. The life time data set is analyzed for illustrative purposes. Monte Carlo results from simulation studies are presented to assess the performance of our proposed method.https://doi.org/10.1515/phys-2017-0064joint type-ii censoringpareto distributionmaximum likelihood estimationbootstrap confidence intervalsbayesian estimation02.50.ga02.50.ng02.50.tt |
| spellingShingle | Abu-Zinadah Hanaa H. Statistical inferences with jointly type-II censored samples from two Pareto distributions Open Physics joint type-ii censoring pareto distribution maximum likelihood estimation bootstrap confidence intervals bayesian estimation 02.50.ga 02.50.ng 02.50.tt |
| title | Statistical inferences with jointly type-II censored samples from two Pareto distributions |
| title_full | Statistical inferences with jointly type-II censored samples from two Pareto distributions |
| title_fullStr | Statistical inferences with jointly type-II censored samples from two Pareto distributions |
| title_full_unstemmed | Statistical inferences with jointly type-II censored samples from two Pareto distributions |
| title_short | Statistical inferences with jointly type-II censored samples from two Pareto distributions |
| title_sort | statistical inferences with jointly type ii censored samples from two pareto distributions |
| topic | joint type-ii censoring pareto distribution maximum likelihood estimation bootstrap confidence intervals bayesian estimation 02.50.ga 02.50.ng 02.50.tt |
| url | https://doi.org/10.1515/phys-2017-0064 |
| work_keys_str_mv | AT abuzinadahhanaah statisticalinferenceswithjointlytypeiicensoredsamplesfromtwoparetodistributions |