The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity

DOI10.1090/TPMS/973zbMath1346.60053OpenAlexW2516069420MaRDI QIDQ2786954

I. O. Savchenko, Mykola V. Pratsiovytyi

Publication date: 24 February 2016

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/973

zbMATH Keywords

Bernoulli convolutionHausdorff-Besicovitch dimensionsingularly continuous probability distributionanomalous fractal spectrumrandom incomplete sums

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Continuity and singularity of induced measures (60G30) Hausdorff and packing measures (28A78)

Related Items (1)

Superfractality of the set of incomplete sums of one positive series

Cites Work

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• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• On fine fractal properties of generalized infinite Bernoulli convolutions
• The Structure of Infinitely Divisible Distributions on a Bicompact Abelian Group
• Fractal properties of some Bernoulli convolutions
• Distribution Functions and the Riemann Zeta Function

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