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On the Set of Limit Points of Normed Sums of Geometrically Weighted I.I.D. Bounded Random Variables
Authors:Deli Li  Yongcheng Qi
Institution:1. Department of Mathematical Sciences , Lakehead University , Thunder Bay , Ontario , Canada;2. Department of Mathematics and Statistics , University of Minnesota Duluth , Duluth , Minnesota , USA
Abstract:
Keywords:Almost sure convergence  Essential infimum  Essential supremum  Geometric weights  Infinite Bernoulli convolution  Iterated logarithm type behavior  Law of the iterated logarithm  Limit points  Spectrum of a distribution function  Sums of geometrically weighted i  i  d  random variables
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