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Sharp bounds for the expected value of order statistics

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  • Huang, J. S.

Abstract

Asymmetric sharp bounds are obtained for the expected values of order statistics using Moriguti's idea of the greatest convex minorant. It rectifies some results in the literature.

Suggested Citation

  • Huang, J. S., 1997. "Sharp bounds for the expected value of order statistics," Statistics & Probability Letters, Elsevier, vol. 33(1), pages 105-107, April.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:1:p:105-107
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    References listed on IDEAS

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    1. Balakrishnan, N., 1993. "A simple application of binomial--negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants," Statistics & Probability Letters, Elsevier, vol. 18(4), pages 301-305, November.
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    Cited by:

    1. Marco Burkschat & Erhard Cramer & Udo Kamps, 2003. "Dual generalized order statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 13-26.
    2. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
    3. de la Cal, J. & Cárcamo, J., 2005. "Inequalities for expected extreme order statistics," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 219-231, July.
    4. de la Cal, Jesús & Valle, Ana M., 2001. "Monotonicity properties of certain expected extreme order statistics," Statistics & Probability Letters, Elsevier, vol. 52(3), pages 313-319, April.

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