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Shrinkage Estimators of the Reliability Characteristics of a Family of Lifetime Distributions

Author

Listed:
  • Ajit Chaturvedi

    (University of Delhi - India)

  • Shruti Nandchahal

    (University of Delhi - India)

Abstract

A family of distributions is considered, which covers many lifetime distributions as specific cases. Two measures of reliability are considered, R(t) = P(X>t) and P = P(X>Y). Shrinkage estimators are considered for the powers of parameter, R(t) and 'P' under type I and type II censorings. Simulation study is conducted to judge the performance of estimators.

Suggested Citation

  • Ajit Chaturvedi & Shruti Nandchahal, 2016. "Shrinkage Estimators of the Reliability Characteristics of a Family of Lifetime Distributions," Statistica, Department of Statistics, University of Bologna, vol. 76(1), pages 57-82.
    • Handle: RePEc:bot:rivsta:v:76:y:2016:i:1:p:57-82
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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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