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Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution

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  • Knopfmacher, Arnold
  • Prodinger, Helmut

Abstract

We derive the exact solution to a recurrence relation obtained by Hosking for the expected value of the minimum order statistic of the Cantor distribution. In addition, we indicate how an asymptotic estimate can be derived for this and similar sums involving binomial coefficients and Bernoulli numbers.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:27:y:1996:i:2:p:189-194
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    References listed on IDEAS

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    1. Hosking, J. R. M., 1994. "Moments of order statistics of the Cantor distribution," Statistics & Probability Letters, Elsevier, vol. 19(2), pages 161-165, January.
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    Cited by:

    1. 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.

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