Limit laws for the modulus of continuity of the partial sum process and for the Shepp statistic
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Publication:1114998
DOI10.1016/0304-4149(88)90039-7zbMath0664.60037OpenAlexW2084309801MaRDI QIDQ1114998
Paul Deheuvels, Josef G. Steinebach
Publication date: 1988
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(88)90039-7
law of the iterated logarithminvariance principlesmoment generating functionErdős-Rényi lawsweak limit laws
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Cites Work
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- A strong limit theorem for the oscillation modulus of the uniform empirical quantile process
- Extremes and related properties of random sequences and processes
- Exact convergence rate in the limit theorems of Erdős-Rényi and Shepp
- Exact convergence rates in strong approximation laws for large increments of partial sums
- Limit laws of Erdős-Rényi-Shepp type
- Improved Erdoes-Renyi and strong approximation laws for increments of partial sums
- On the increments of Wiener and related processes
- On a new law of large numbers
- A unified formulation of the central limit theorem for small and large deviations from the mean
- On the Probabilities of Large Deviations for the Maximum of Sums of Independent Random Variables
- A relation between Chung's and Strassen's laws of the iterated logarithm
- An approximation of partial sums of independent RV's, and the sample DF. II
- How big must be the increments of a Wiener process?
- A generalization of Strassen's functional law of iterated logarithm
- On the increments of the Wiener process
- A Limit Law Concerning Moving Averages
- On the Application of the Borel-Cantelli Lemma
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