Author:
Pratsiovytyi Mykola,Lysenko Iryna,Voitovska Oksana
Abstract
Abstract
Let X be a random variable with independent ternary digits and let
{y=F(x)}
be a classic singular Cantor function. For the distribution of the random variable
{Y=F(X)}
, the Lebesgue structure (i.e., the content of discrete, absolutely continuous and singular components), the structure of its point and the continuous spectra are exhaustively studied.
Subject
Statistics and Probability,Analysis
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