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

**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.

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helmut@gauss.cam.wits.ac.za,
arnoldk@gauss.cam.wits.ac.za,

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