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Estimation and testing procedures for the reliability functions of a family of lifetime distributions based on records

Author

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  • Ajit Chaturvedi

    (University of Delhi)

  • Ananya Malhotra

    (University of Delhi)

Abstract

A family of lifetime distributions is considered. Two measures of reliability are considered, R(t) = P(X > t) and P = P(X > Y). Point estimation and testing procedures are developed for R(t) and P based on records. Two types of point estimators are developed—uniformly minimum variance unbiased estimators and maximum likelihood estimators. A comparative study of different methods of estimation is done through simulation studies. Testing procedures are developed for the hypothesis related to different parametric functions.

Suggested Citation

  • Ajit Chaturvedi & Ananya Malhotra, 2017. "Estimation and testing procedures for the reliability functions of a family of lifetime distributions based on records," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 836-848, November.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0531-2
    DOI: 10.1007/s13198-016-0531-2
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    References listed on IDEAS

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