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.

If you like this paper, you might also like this paper and this paper .

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

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

This paper is available in the Tex, Dvi, and PostScript format.

(Back to List of Papers)