Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419166 | Journal of Mathematical Analysis and Applications | 2013 | 11 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Do Yong Kwon,