Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction.
In this paper two prediction methods are used to predict the non-observed (censored) units under progressive Type-II censored samples. The lifetimes of the units follow Marshall-Olkin Pareto distribution. We observe the posterior predictive density of the non-observed units and construct predictive...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2022-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0270750 |
| _version_ | 1811221460173193216 |
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| author | R Alshenawy Hanan Haj Ahmad Ali Al-Alwan |
| author_facet | R Alshenawy Hanan Haj Ahmad Ali Al-Alwan |
| author_sort | R Alshenawy |
| collection | DOAJ |
| description | In this paper two prediction methods are used to predict the non-observed (censored) units under progressive Type-II censored samples. The lifetimes of the units follow Marshall-Olkin Pareto distribution. We observe the posterior predictive density of the non-observed units and construct predictive intervals as well. Furthermore, we provide inference on the unknown parameters of the Marshall-Olkin model, so we observe point and interval estimation by using maximum likelihood and Bayesian estimation methods. Bayes estimation methods are obtained under quadratic loss function. EM algorithm is used to obtain numerical values of the Maximum likelihood method and Gibbs and the Monte Carlo Markov chain techniques are utilized for Bayesian calculations. A simulation study is performed to evaluate the performance of the estimators with respect to the mean square errors and the biases. Finally, we find the best prediction method by implementing a real data example under progressive Type-II censoring schemes. |
| first_indexed | 2024-04-12T08:00:54Z |
| format | Article |
| id | doaj.art-4c3a1e68f79d4ac6a10d95fb19c83d88 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-12T08:00:54Z |
| publishDate | 2022-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-4c3a1e68f79d4ac6a10d95fb19c83d882022-12-22T03:41:20ZengPublic Library of Science (PLoS)PLoS ONE1932-62032022-01-01177e027075010.1371/journal.pone.0270750Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction.R AlshenawyHanan Haj AhmadAli Al-AlwanIn this paper two prediction methods are used to predict the non-observed (censored) units under progressive Type-II censored samples. The lifetimes of the units follow Marshall-Olkin Pareto distribution. We observe the posterior predictive density of the non-observed units and construct predictive intervals as well. Furthermore, we provide inference on the unknown parameters of the Marshall-Olkin model, so we observe point and interval estimation by using maximum likelihood and Bayesian estimation methods. Bayes estimation methods are obtained under quadratic loss function. EM algorithm is used to obtain numerical values of the Maximum likelihood method and Gibbs and the Monte Carlo Markov chain techniques are utilized for Bayesian calculations. A simulation study is performed to evaluate the performance of the estimators with respect to the mean square errors and the biases. Finally, we find the best prediction method by implementing a real data example under progressive Type-II censoring schemes.https://doi.org/10.1371/journal.pone.0270750 |
| spellingShingle | R Alshenawy Hanan Haj Ahmad Ali Al-Alwan Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction. PLoS ONE |
| title | Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction. |
| title_full | Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction. |
| title_fullStr | Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction. |
| title_full_unstemmed | Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction. |
| title_short | Progressive censoring schemes for marshall-olkin pareto distribution with applications: Estimation and prediction. |
| title_sort | progressive censoring schemes for marshall olkin pareto distribution with applications estimation and prediction |
| url | https://doi.org/10.1371/journal.pone.0270750 |
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