On types of distributions of sums of one class of random power series with independent identically distributed coefficients
Abstract
By using the method of characteristic functions, we obtain sufficient conditions for the singularity of a random variable. ξ=∞∑k=12−kξk, where ξk are independent identically distributed random variables taking values x0,x1, and x2 (x0<x1<x2) with probabilities p0,p1 and p2, respectively, such that pi≥0,p0+p1+p2=1 and 2(x1−x0)/(x2−x0) is a rational number.
Published
25.01.1999
How to Cite
Litvinyuk, A. A. “On Types of Distributions of Sums of One Class of Random Power Series With Independent Identically Distributed Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 1, Jan. 1999, pp. 128–132, https://umj.imath.kiev.ua/index.php/umj/article/view/4591.
Issue
Section
Short communications