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UMVU estimation of the reliability function of the generalized life distributions

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Abstract

The problems of estimating the reliability function and P=PrX > Y are considered for the generalized life distributions. Uniformly minimum variance unbiased estimators (UMVUES) of the powers of the parameter involved in the probabilistic model and the probability density function (pdf) at a specified point are derived. The UMVUE of the pdf is utilized to obtain the UMVUE of the reliability function and ‘P’. Our method of obtaining these estimators is quite simple than the traditional approaches. A theoretical method of studying the behaviour of the hazard-rate is provided.

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Authors and Affiliations

  1. Department of Statistics, University of Delhi, 10007, Delhi, India

    Ajit Chaturvedi

  2. Department of Microbiology, CCS University, 250005, Meerut, India

    Sanjeev K. Tomer

Authors
  1. Ajit Chaturvedi
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  2. Sanjeev K. Tomer
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Chaturvedi, A., Tomer, S.K. UMVU estimation of the reliability function of the generalized life distributions. Statistical Papers 44, 301–313 (2003). https://doi.org/10.1007/s00362-003-0157-8

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  • DOI: https://doi.org/10.1007/s00362-003-0157-8

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