Exact convergence rates in strong approximation laws for large increments of partial sums
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Publication:1085875
DOI10.1007/BF01297492zbMath0608.60024MaRDI QIDQ1085875
Paul Deheuvels, Josef G. Steinebach
Publication date: 1987
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Gaussian processes (60G15) Strong limit theorems (60F15) Large deviations (60F10) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)
Related Items (8)
On Mason's extension of the Erdős-Rényi law of large numbers ⋮ Erdös-Rényi-Shepp laws and weighted sums of independent identically distributed random variables ⋮ Limit laws for the modulus of continuity of the partial sum process and for the Shepp statistic ⋮ On one-sided strong laws for large increments of sums ⋮ Limit results on finite-dimensional Gaussian random fields ⋮ Berry-Esseen type theorems and the uniform law of the iterated logarithm for LPQD processes ⋮ Limsup results and LIL for finite dimensional Gaussian random fields ⋮ Asymptotic results for random processes
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- An approximation of partial sums of independent RV's, and the sample DF. II
- On the increments of the Wiener process
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