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Reliability Analysis Using Ranked Set Sampling

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Proceedings of the Twelfth International Conference on Management Science and Engineering Management (ICMSEM 2018)

Part of the book series: Lecture Notes on Multidisciplinary Industrial Engineering ((LNMUINEN))

Abstract

The stress-strength reliability (SSR) based on ranked set sampling is studied, where we propose a shrinkage estimator of SSR. Its asymptotic behavior is investigated, and an improved bootstrap confidence interval is also constructed. A simulation study is carried out in order to assess the inferential method developed here and the result is used in the analysis of apple tree data. Both asymptotic and simulation evidences revealed that our proposed shrinkage strategy performs well in the estimation of SSR based on ranked set sampling.

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Acknowledgements

The research of Professor S. Ejaz Ahmed was partially supported by the Natural Sciences and Engineering Research Council of Canada.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

    Alireza Safariyan & Mohammad Arashi

  2. Department of Mathematics, Brock University, St. Catharines, ON, Canada

    S. Ejaz Ahmed

  3. Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    Reza Arabi Belaghi

Authors
  1. Alireza Safariyan
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  2. Mohammad Arashi
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  3. S. Ejaz Ahmed
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  4. Reza Arabi Belaghi
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Corresponding author

Correspondence to Alireza Safariyan .

Editor information

Editors and Affiliations

  1. Sichuan University, Chengdu, China

    Jiuping Xu

  2. Monash University, Department of Management, Melbourne, VIC, Australia

    Fang Lee Cooke

  3. Fuzzy Logic Systems Institute, Tokyo University of Science, Tokyo, Japan

    Mitsuo Gen

  4. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

    Syed Ejaz Ahmed

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Safariyan, A., Arashi, M., Ahmed, S.E., Arabi Belaghi, R. (2019). Reliability Analysis Using Ranked Set Sampling. In: Xu, J., Cooke, F., Gen, M., Ahmed, S. (eds) Proceedings of the Twelfth International Conference on Management Science and Engineering Management. ICMSEM 2018. Lecture Notes on Multidisciplinary Industrial Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-93351-1_56

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