Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings

Ajit Chaturvedi () and Shantanu Vyas ()
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Ajit Chaturvedi: University of Delhi - India
Shantanu Vyas: University of Delhi - India

Statistica, 2017, vol. 77, issue 3, 207-235

Abstract: 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.

Keywords: Three parameter Burr distribution; Point estimation; Interval estimation; Type-II and type-I censoring; Testing of hypotheses (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:77:y:2017:i:3:p:207-235

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