Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring
Incomplete data are unavoidable for survival analysis as well as life testing, so more and more researchers are beginning to study censoring data. This paper discusses and considers the estimation of unknown parameters featured by the Kumaraswamy distribution on the condition of generalized progress...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/9/1032 |
| _version_ | 1797553661529817088 |
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| author | Jiayi Tu Wenhao Gui |
| author_facet | Jiayi Tu Wenhao Gui |
| author_sort | Jiayi Tu |
| collection | DOAJ |
| description | Incomplete data are unavoidable for survival analysis as well as life testing, so more and more researchers are beginning to study censoring data. This paper discusses and considers the estimation of unknown parameters featured by the Kumaraswamy distribution on the condition of generalized progressive hybrid censoring scheme. Estimation of reliability is also considered in this paper. To begin with, the maximum likelihood estimators are derived. In addition, Bayesian estimators under not only symmetric but also asymmetric loss functions, like general entropy, squared error as well as linex loss function, are also offered. Since the Bayesian estimates fail to be of explicit computation, Lindley approximation, as well as the Tierney and Kadane method, is employed to obtain the Bayesian estimates. A simulation research is conducted for the comparison of the effectiveness of the proposed estimators. A real-life example is employed for illustration. |
| first_indexed | 2024-03-10T16:19:45Z |
| format | Article |
| id | doaj.art-9de26adde7564941aca3d03b45245764 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T16:19:45Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9de26adde7564941aca3d03b452457642023-11-20T13:46:29ZengMDPI AGEntropy1099-43002020-09-01229103210.3390/e22091032Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid CensoringJiayi Tu0Wenhao Gui1Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaIncomplete data are unavoidable for survival analysis as well as life testing, so more and more researchers are beginning to study censoring data. This paper discusses and considers the estimation of unknown parameters featured by the Kumaraswamy distribution on the condition of generalized progressive hybrid censoring scheme. Estimation of reliability is also considered in this paper. To begin with, the maximum likelihood estimators are derived. In addition, Bayesian estimators under not only symmetric but also asymmetric loss functions, like general entropy, squared error as well as linex loss function, are also offered. Since the Bayesian estimates fail to be of explicit computation, Lindley approximation, as well as the Tierney and Kadane method, is employed to obtain the Bayesian estimates. A simulation research is conducted for the comparison of the effectiveness of the proposed estimators. A real-life example is employed for illustration.https://www.mdpi.com/1099-4300/22/9/1032Kumaraswamy distributiongeneralized progressive hybrid censoringmaximum liklihood estimationbayesian estimationLindley’s approximationTierney and Kadane method |
| spellingShingle | Jiayi Tu Wenhao Gui Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring Entropy Kumaraswamy distribution generalized progressive hybrid censoring maximum liklihood estimation bayesian estimation Lindley’s approximation Tierney and Kadane method |
| title | Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring |
| title_full | Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring |
| title_fullStr | Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring |
| title_full_unstemmed | Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring |
| title_short | Bayesian Inference for the Kumaraswamy Distribution under Generalized Progressive Hybrid Censoring |
| title_sort | bayesian inference for the kumaraswamy distribution under generalized progressive hybrid censoring |
| topic | Kumaraswamy distribution generalized progressive hybrid censoring maximum liklihood estimation bayesian estimation Lindley’s approximation Tierney and Kadane method |
| url | https://www.mdpi.com/1099-4300/22/9/1032 |
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