Empirical Distribution Functions and Strong Approximation Theorems for Dependent Random Variables. A Problem of Baker in Probabilistic Number Theory

DOI10.2307/2154995zbMath0812.11045OpenAlexW4254377213MaRDI QIDQ4316963

Walter Philipp

Publication date: 19 December 1994

Full work available at URL: https://doi.org/10.2307/2154995

zbMATH Keywords

discrepancymartingale inequalitiesmetric estimate

Mathematics Subject Classification ID

Special sequences (11K31)

Related Items (14)

On the central limit theorem for \(f(n_{k}x)\) ⋮ Diophantine equations and the LIL for the discrepancy of sublacunary sequences ⋮ On the law of the iterated logarithm for trigonometric series with bounded gaps ⋮ A metric discrepancy result for a lacunary sequence with small gaps ⋮ Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations ⋮ A metric discrepancy result for the sequence of powers of minus two ⋮ CLT for random walks of commuting endomorphisms on compact abelian groups ⋮ Obituary for Walter Philipp. ⋮ A metric discrepancy result for the Hardy-Littlewood-Pólya sequences ⋮ A law of the iterated logarithm for discrepancies: non-constant limsup ⋮ The central limit theorem for Riesz–Raikov sums II ⋮ On the law of the iterated logarithm for the discrepancy of \(\langle n_kx\rangle\) ⋮ Normal numbers with digit dependencies ⋮ On permutations of Hardy-Littlewood-Pólya sequences

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