Estimation and testing procedures for the reliability functions of three parameter Burr distribution under censorings. (English) Zbl 1473.62332
Summary: A three 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.
MSC:
| 62N05 | Reliability and life testing |
Keywords:
three-parameter Burr distribution; point estimation; interval estimation; type-II and type-I censoring; testing of hypothesesReferences:
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