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A note on the sequence of expected extremes

Author

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  • Kolodynski, Slawomir

Abstract

Necessary and sufficient conditions for a sequence to be an expectation sequence of maximal (or minimal) order statistics are obtained. Applications to the study of convergence in distribution are given.

Suggested Citation

  • Kolodynski, Slawomir, 2000. "A note on the sequence of expected extremes," Statistics & Probability Letters, Elsevier, vol. 47(3), pages 295-300, April.
    • Handle: RePEc:eee:stapro:v:47:y:2000:i:3:p:295-300
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    References listed on IDEAS

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    1. 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.
    2. Huang, J. S., 1998. "Sequence of expectations of maximum-order statistics," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 117-123, June.
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    Cited by:

    1. A. Okolewski & N. Papadatos, 2024. "Finite Sequences Representing Expected Order Statistics," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 755-774, August.

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