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

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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.

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Acknowledgments

We are thankful to two reviewers for providing fruitful comments, which led to considerable improvement in the original paper.

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Authors and Affiliations

  1. Department of Statistics, University of Delhi, Delhi, 110007, India

    Ajit Chaturvedi & Ananya Malhotra

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  1. Ajit Chaturvedi
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  2. Ananya Malhotra
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Correspondence to Ananya Malhotra.

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Chaturvedi, A., Malhotra, A. Estimation and testing procedures for the reliability functions of a family of lifetime distributions based on records. Int J Syst Assur Eng Manag 8 (Suppl 2), 836–848 (2017). https://doi.org/10.1007/s13198-016-0531-2

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  • DOI: https://doi.org/10.1007/s13198-016-0531-2

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