Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings
Athree parameter Burr distribution is considered. Two measures of reliability are discussed. Point and interval estimation procedures are developed for the parameters, and reliability functions under type II and type I censoring. Two types of point estimators namely- uniformly minimum variance unbia...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Bologna
2018-01-01
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| Series: | Statistica |
| Subjects: | |
| Online Access: | https://rivista-statistica.unibo.it/article/view/6965 |
| _version_ | 1818244766562779136 |
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| author | Ajit Chaturvedi Shantanu Vyas |
| author_facet | Ajit Chaturvedi Shantanu Vyas |
| author_sort | Ajit Chaturvedi |
| collection | DOAJ |
| description | Athree parameter Burr distribution is considered. Two measures of reliability are discussed. Point and interval estimation procedures are developed for the parameters, and reliability functions under type II and type I censoring. Two types of point estimators namely- uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. Asymptotic variance-covariance matrix and confidence intervals for MLE’s are obtained. Testing procedures are also developed for various hypotheses. |
| first_indexed | 2024-12-12T14:22:14Z |
| format | Article |
| id | doaj.art-76534d9fe9d84f4093c0218b2e0cd9a1 |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-12-12T14:22:14Z |
| publishDate | 2018-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-76534d9fe9d84f4093c0218b2e0cd9a12022-12-22T00:21:46ZengUniversity of BolognaStatistica0390-590X1973-22012018-01-0177320723510.6092/issn.1973-2201/69656877Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under CensoringsAjit Chaturvedi0Shantanu Vyas1University of DelhiUniversity of DelhiAthree parameter Burr distribution is considered. Two measures of reliability are discussed. Point and interval estimation procedures are developed for the parameters, and reliability functions under type II and type I censoring. Two types of point estimators namely- uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. Asymptotic variance-covariance matrix and confidence intervals for MLE’s are obtained. Testing procedures are also developed for various hypotheses.https://rivista-statistica.unibo.it/article/view/6965Three parameter Burr distributionPoint estimationInterval estimationType-II and type-I censoringTesting of hypotheses |
| spellingShingle | Ajit Chaturvedi Shantanu Vyas Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings Statistica Three parameter Burr distribution Point estimation Interval estimation Type-II and type-I censoring Testing of hypotheses |
| title | Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings |
| title_full | Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings |
| title_fullStr | Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings |
| title_full_unstemmed | Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings |
| title_short | Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings |
| title_sort | estimation and testing procedures for the reliability functions of three parameter burr distribution under censorings |
| topic | Three parameter Burr distribution Point estimation Interval estimation Type-II and type-I censoring Testing of hypotheses |
| url | https://rivista-statistica.unibo.it/article/view/6965 |
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