Article ID Journal Published Year Pages File Type
6419166 Journal of Mathematical Analysis and Applications 2013 11 Pages PDF
Abstract

Let β>1. Through an appeal to β-expansions we define a strictly increasing and left-continuous function μβ on [0,1]. Then μβ turns out to be a pure jump distribution. In other words, its associated Lebesgue-Stieltjes measure is discrete, i.e., a summation of point masses. The present note studies the moment of this discrete measure and its asymptotics.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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