A uniform rate of convergence for the maximum absolute value of partial sums in probability

DOI10.1002/cpa.3160200403zbMath0201.50901OpenAlexW2040642957MaRDI QIDQ5600559

Stanley A. Sawyer

Publication date: 1967

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160200403

Related Items (6)

Embedding and asymptotic expansions for martingales ⋮ Speeds of metric probability convergence ⋮ A remark on the skorohod representation ⋮ Skorohod embedding of multivariate RV's, and the sample DF ⋮ Mixing limit theorems of maximum of absolute sums and their convergence rates ⋮ On the rate of convergence in the invariance principle for real-valued functions of Doeblin processes

Cites Work

• Uniform Limit Theorems for the Maximum Cumulative Sum in Probability
• On the Maximum Partial Sums of Sequences of Independent Random Variables
• On certain limit theorems of the theory of probability

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