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

Author

Listed:
  • Ajit Chaturvedi

    (University of Delhi - India)

  • Shantanu Vyas

    (University of Delhi - India)

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.

Suggested Citation

  • Ajit Chaturvedi & Shantanu Vyas, 2017. "Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings," Statistica, Department of Statistics, University of Bologna, vol. 77(3), pages 207-235.
    • Handle: RePEc:bot:rivsta:v:77:y:2017:i:3:p:207-235
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    Cited by:

    1. Syed Ejaz Ahmed & Reza Arabi Belaghi & Abdulkadir Hussein & Alireza Safariyan, 2024. "New and Efficient Estimators of Reliability Characteristics for a Family of Lifetime Distributions under Progressive Censoring," Mathematics, MDPI, vol. 12(10), pages 1-18, May.

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