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

Arnold Knopfmacher and Helmut Prodinger

Statistics & Probability Letters, 1996, vol. 27, issue 2, 189-194

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.

Keywords: Order; statistics; Alternating; sums; Bernoulli; numbers; Rice's; method (search for similar items in EconPapers)
Date: 1996
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