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Improving the hartley-David-Gumbel bound for the mean of extreme order statistics

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  • Balakrishnan, N.

Abstract

A simple method is presented for improving Hartley-David-Gumbel's universal bound for the mean of extreme order statistics.

Suggested Citation

  • Balakrishnan, N., 1990. "Improving the hartley-David-Gumbel bound for the mean of extreme order statistics," Statistics & Probability Letters, Elsevier, vol. 9(4), pages 291-294, April.
    • Handle: RePEc:eee:stapro:v:9:y:1990:i:4:p:291-294
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    Citations

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    Cited by:

    1. Nickos Papadatos, 1995. "Maximum variance of order statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(1), pages 185-193, January.
    2. Huang, J. S., 1998. "Sequence of expectations of maximum-order statistics," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 117-123, June.
    3. 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.
    4. Kolodynski, Slawomir, 2000. "A note on the sequence of expected extremes," Statistics & Probability Letters, Elsevier, vol. 47(3), pages 295-300, April.
    5. de la Cal, J. & Cárcamo, J., 2005. "Inequalities for expected extreme order statistics," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 219-231, July.
    6. 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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