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
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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