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Moment-Based Characterizations of the Exponential Distribution in the Class of Distributions with Monotone Hazard Rate

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Some new characterizations of the exponential distribution in the class of distributions with monotone hazard rate are obtained. The characterizations are formulated in terms of expectations of order statistics.

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References

  1. R.E. Barlow and A.W.Marshall, “Bounds for distributions with monotone hazard rate,” Ann. Math. Stat., 35, 1234–1274 (1964).

    Article  MathSciNet  Google Scholar 

  2. R. Shimizu, “Inequalities for a distribution with monotone hazard rate,” Ann. Inst. Stat. Math., 38, Part A, 195–204 (1986).

    Article  MathSciNet  Google Scholar 

  3. B.O. Oluyede, “On some length biased inequalities for reliability measures,” J. Inequal. Appl., 5, 447–466 (2000).

    MathSciNet  MATH  Google Scholar 

  4. R.E. Barlow and F. Proschan, “Inequalities for linear combinations of order statistics from restricted families,” Ann. Math. Stat., 37, 1574–1592 (1966).

    Article  MathSciNet  Google Scholar 

  5. T.A. Azlarov and N.A. Volodin, Characterization Problems Associated with the Exponential Distribution, Springer-Verlag, New York (1986).

    Book  Google Scholar 

  6. M. Ahsanullah, “On a conjecture of Kakosyan, Klebanov, and Melamed,” Stat. Papers, 29, 151–157 (1988).

    Article  MathSciNet  Google Scholar 

  7. N.G. Ushakov and V.G. Ushakov, “A note on characterizations of the exponential distribution,” J. Math. Sci., 214, 132–138 (2016).

    Article  MathSciNet  Google Scholar 

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Correspondence to N. G. Ushakov.

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Proceedings of the XXXIII International Seminar on Stability Problems for Stochastic Models, Svetlogorsk, Russia,

June 12–18, 2016.

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Ushakov, N.G., Ushakov, V.G. Moment-Based Characterizations of the Exponential Distribution in the Class of Distributions with Monotone Hazard Rate. J Math Sci 234, 759–769 (2018). https://doi.org/10.1007/s10958-018-4041-4

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  • DOI: https://doi.org/10.1007/s10958-018-4041-4

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