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Moments of order statistics of the Cantor distribution

Author

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  • Hosking, J. R. M.

Abstract

We obtain recursive formulas for the expected values of order statistics from the Cantor distribution defined by Lad and Taylor (Statist. Probab. Lett. 13 (1992) 307-310), and for a skew generalization of it. The formulas are used to calculate the L-moments of the distribution.

Suggested Citation

  • Hosking, J. R. M., 1994. "Moments of order statistics of the Cantor distribution," Statistics & Probability Letters, Elsevier, vol. 19(2), pages 161-165, January.
    • Handle: RePEc:eee:stapro:v:19:y:1994:i:2:p:161-165
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    Cited by:

    1. Arnold, Barry C., 2011. "The generalized Cantor distribution and its corresponding inverse distribution," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1098-1103, August.
    2. Knopfmacher, Arnold & Prodinger, Helmut, 1996. "Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution," Statistics & Probability Letters, Elsevier, vol. 27(2), pages 189-194, April.
    3. Bandyopadhyay, Antar & Sajadi, Farkhondeh, 2012. "The connectivity threshold of random geometric graphs with Cantor distributed vertices," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2103-2107.
    4. Grabner, P. J. & Prodinger, H., 1996. "Asymptotic analysis of the moments of the Cantor distribution," Statistics & Probability Letters, Elsevier, vol. 26(3), pages 243-248, February.

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