Splitting intervals

Carl Herz

Statistics & Probability Letters, 1988, vol. 7, issue 1, 3-7

Abstract: Given an interval we choose a point in the interval and one of the two subintervals thus obtained in a symmetric random manner. The process is repeated ad infinitum. We study the limiting distribution of the midpoint of the interval.

Keywords: limit; laws; Mellin; transform; Fourier; transform; Tauberian; theorems (search for similar items in EconPapers)
Date: 1988
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