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Establishment of Preliminary Test Estimators and Preliminary Test Confidence Intervals for Measures of Reliability of an Exponentiated Distribution Based on Type-II Censoring

Author

Listed:
  • Ajit Chaturvedi

    (Department of Statistics, University of Delhi)

  • Anshika Bhatnagar

    (Department of Statistics, University of Delhi)

Abstract

The present paper has developed the preliminary test estimators (PTEs) of the model parameter raised to certain power, sp, and the two measures of reliability, namely, the reliability function, R(t ) and the reliability of an item or a system, P of an exponentiated distribution, under Type- II censoring, based on their uniformly minimum variance unbiased estimators (UMVUEs) and maximum likelihood estimators (MLEs). The preliminary test confidence intervals (PTCIs) are also developed for sP R(t ) and P based on their UMVUEs and MLEs. Further, the paper has derived expression for coverage probability of the PTCI of the model parameter, s. Merits of the proposed PTEs are also established through analysis of simulated numerical data.

Suggested Citation

  • Ajit Chaturvedi & Anshika Bhatnagar, 2019. "Establishment of Preliminary Test Estimators and Preliminary Test Confidence Intervals for Measures of Reliability of an Exponentiated Distribution Based on Type-II Censoring," Statistica, Department of Statistics, University of Bologna, vol. 79(1), pages 111-129.
    • Handle: RePEc:bot:rivsta:v:79:y:2019:i:1:p:111-129
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