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Record values from a family of J-shaped distributions

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  • Ahmad A. Zghoul

    (Department of Mathematics, College of Sciences, The University of Jordan)

Abstract

A family of J-shaped distributions has applications in life testing modeling. In this paper we study record values from this family of distributions. Based on lower records, recurrence relations and bounds as well as expressions for moments and product moments of record values are obtained, the maximum likelihood estimator of the shape parameter is derived and shown to be consistent, sufficient, complete and UMVU estimator. In addition, an application in reliability is given.

Suggested Citation

  • Ahmad A. Zghoul, 2011. "Record values from a family of J-shaped distributions," Statistica, Department of Statistics, University of Bologna, vol. 71(3), pages 355-365.
    • Handle: RePEc:bot:rivsta:v:71:y:2011:i:3:p:355-365
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    Cited by:

    1. Rashad Bantan & Mahmoud Elsehetry & Amal S. Hassan & Mohammed Elgarhy & Dreamlee Sharma & Christophe Chesneau & Farrukh Jamal, 2021. "A Two-Parameter Model: Properties and Estimation under Ranked Sampling," Mathematics, MDPI, vol. 9(11), pages 1-16, May.

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