Regularity of digits and significant digits of random variables

DOI10.1016/j.spa.2005.05.003zbMath1080.60002OpenAlexW2165280491MaRDI QIDQ2568303

Theodore P. Hill, Klaus Schürger

Publication date: 10 October 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1066&context=rgp_rsr

zbMATH Keywords

Fourier coefficientnormal numberdigit-regular

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (1)

Extensions of Black-Scholes processes and Benford's law

Cites Work

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• On normal numbers
• On measures simultaneously 2- and 3-invariant
• A statistical derivation of the significant-digit law
• Normal numbers from independent processes
• Mixing and asymptotic distribution modulo 1
• Convergence Estimates for the Distribution of Trailing Digits
• On multipliers preserving convergence of trigonometric series almost everywhere

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