Poisson approximation for the number of large digits of inhomogeneous \(f\)-expansions

DOI10.1007/BF01298246zbMath0897.11027OpenAlexW2047994600MaRDI QIDQ1376036

Lothar Heinrich

Publication date: 19 October 1998

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

Full work available at URL: https://eudml.org/doc/178789

zbMATH Keywords

continued fraction expansionexcedancePoisson limit theoreminhomogeneous \(f\)-expansionrate of Poisson approximationsecond-order Poisson-Charlier expansion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Metric theory of continued fractions (11K50) Renewal theory (60K05)

Cites Work

• Transformations on [0,1 with infinite invariant measures]
• Random f-expansions
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Representations for real numbers and their ergodic properties
• Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions
• On Some Limit Theorems for Continued Fractions
• Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
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