Topological and metric properties of distributions of random variables represented by the alternating Lüroth series with independent elements

DOI10.1515/ROSE-2013-0018zbMath1362.60005OpenAlexW2320377241MaRDI QIDQ2873160

Yuriy Khvorostina, Mykola V. Pratsiovytyi

Publication date: 23 January 2014

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

Full work available at URL: https://doi.org/10.1515/rose-2013-0018

zbMATH Keywords

Lebesgue structure of probability distributionabsolutely continuous probability distributionexpansions of numbers by alternating Lüroth seriesgeometry of \(\widetilde L\)-representationsingular probability distribution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Probability theory on algebraic and topological structures (60B99)

Related Items (5)

Fundamentals of metric theory of real numbers in their \(\overline{Q_3} \)-representation ⋮ Normal properties of numbers in terms of their representation by the Perron series ⋮ One class of continuous functionswith complicated local properties related to Engel series ⋮ Numerical characteristics of a random variable related to the Engel expansions of real numbers ⋮ A random variable whose digits in the $\widetilde {L}$-representation have the Markovian dependence

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