Convolutions of distributions of random variables with independent binary digits

DOI10.1515/ROSE.2007.006zbMath1164.60004OpenAlexW2078994225MaRDI QIDQ5430547

Mykola V. Pratsiovytyi, Ya. V. Goncharenko, Grygoriy Torbin, Sergio A. Albeverio

Publication date: 16 December 2007

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose.2007.006

zbMATH Keywords

absolutely continuous probability distributionssingular probability distributionsconvolutions of singular measuresrandom variables with independent binary digits

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Continuity and singularity of induced measures (60G30) Random power series in one complex variable (30B20)

Related Items

On singularity of distribution of random variables with independent symbols of Oppenheim expansions, Self-affine singular and nowhere monotone functions related to the \(Q\)-representation of real numbers, Distribution of values of classic singular Cantor function of random argument, Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence

Cites Work

• On equivalence of infinite product measures
• Self-similar measures and intersections of Cantor sets
• Certain Induced Measures on the Unit Interval
• Random Variables with Independent Binary Digits
• Distribution Functions and the Riemann Zeta Function
• On Some Singular Monotonic Functions Which Are Strictly Increasing