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Order statistics from a family of J-shaped distributions

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Summary

The hazard rate function of the family of J-shaped distribution is bathtub shaped which makes it an appropriate model for failure data. In this paper we study order statistics from this family of distributions. Expressions for moments and product moments of order statistics are given. Some recurrence relations for moments of order statistics are derived. Bounds based on Jensen’s inequality are constructed.

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References

  • David, H. A. and Nagaraja, H. N. (2003) Order Statistics, 3rd ed., Wiley & Sons, USA.

    Book  MATH  Google Scholar 

  • Gradshteyn, I. S. and Ryzhik, I. M. (1980) Table of Integrals, Series, and Products, Academic Press, Orlando, Florida, USA.

    MATH  Google Scholar 

  • Nadarajah, S. and Kotz, S. (2003) Moments of Some J-Shaped Distributions, Journal of Applied Statistics, 30(3), 311–317.

    MathSciNet  MATH  Google Scholar 

  • Topp, C. W. and Leone, F. C. (1955) A family of J-Shaped Frequency Functions, Journal of the American Statistical Association, 50, 209–219.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, The University of Jordan, Jordan

    Ahmad A. Zghoul

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  1. Ahmad A. Zghoul
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Correspondence to Ahmad A. Zghoul.

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Zghoul, A.A. Order statistics from a family of J-shaped distributions. METRON 68, 127–136 (2010). https://doi.org/10.1007/BF03263530

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  • DOI: https://doi.org/10.1007/BF03263530

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