Moments of distributions related to digital expansions

DOI10.1016/j.jmaa.2005.05.043zbMath1086.60009OpenAlexW2039369470MaRDI QIDQ819673

N. E. Zubov

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.043

zbMATH Keywords

Mellin transformGray codebinomial measuredepoissonisationCantor distribution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Related Items

Average distances on self-similar sets and higher order average distances of self-similar measures ⋮ Expectations on fractal sets ⋮ On a flexible class of continuous functions with uniform local structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mellin transforms and asymptotics: Harmonic sums
• A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case
• Analytical depoissonization and its applications
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• Asymptotics for the moments of singular distributions
• Mellin transforms and asymptotics: Digital sums
• Special issue: Average-case analysis of algorithms
• \((q,\delta)\)-numeration systems with missing digits
• Applications of binomial measures to power sums of digital sums
• On the paper Asymptotics for the moments of singular distributions
• An explicit formula of the exponential sums of digital sums
• Asymptotic analysis of the moments of the Cantor distribution
• Digital Sum Problems for the p-adic Expansion of Natural Numbers.
• An Explicit Formula of Subblock Occurrences for the p-Adic Expansion
• Digital Sum Problems for the Gray Code Representation of Natural Numbers
• Random Walks on Infinite Graphs and Groups