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

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.
Year of publication:
1996
Authors: Knopfmacher, Arnold ; Prodinger, Helmut
Published in:
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 27.1996, 2, p. 189-194
Publisher: Elsevier
Keywords: Order statistics Alternating sums Bernoulli numbers Rice's method
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10005259262
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