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Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings

Author

Listed:
  • Ajit Chaturvedi

    (University of Delhi - India)

  • Shantanu Vyas

    (University of Delhi - India)

Abstract

Exponentiated distributions are 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 different parametric functions under Type II and Type I censoring. Uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. A new technique of obtaining these estimators is introduced.

Suggested Citation

  • Ajit Chaturvedi & Shantanu Vyas, 2017. "Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings," Statistica, Department of Statistics, University of Bologna, vol. 77(1), pages 13-31.
    • Handle: RePEc:bot:rivsta:v:77:y:2017:i:1:p:13-31
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    Cited by:

    1. Modibbo, Umar Muhammad & Arshad, Mohd. & Abdalghani, Omer & Ali, Irfan, 2021. "Optimization and estimation in system reliability allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    2. 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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