On measures of uniformly distributed sequences and Benford's law

DOI10.1007/BF01300347zbMath0678.10036MaRDI QIDQ1123926

Peter Schatte

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178425

zbMATH Keywords

discrepancyproduct measuresempirical distribution functionBenford's lawuniform distribution of sequencesstationary random product measure

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) General theory of distribution modulo (1) (11K06)

Cites Work

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• On Benford's law
• Folgen auf kompakten Räumen
• On a law of the iterated logarithm for sums mod 1 with application to Benford's law
• Beiträge zur Diskrepanz bezüglich gewichteter Mittel. (Contributions to the discrepancy with respect to weighted means)
• The distribution of leading digits and uniform distribution mod 1
• Berry-Esseen bounds and a theorem of Erdős and Turan on uniform distribution mod 1
• Von Neumann on measure and ergodic theory
• On Sums Modulo 2π of Independent Random Variables
• The First Digit Problem
• Zur Verteilung der Mantisse in der Gleitkommadarstellung einer Zufallsgröße

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