Improved Erdős-Rényi and strong approximation laws for increments of renewal processes

DOI10.1214/AOP/1176992530zbMath0601.60029OpenAlexW2038792089MaRDI QIDQ1081195

Josef G. Steinebach

Publication date: 1986

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992530

zbMATH Keywords

first-passage timestrong invariance principleErdős-Rényi strong law for renewal processes

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17) Renewal theory (60K05)

Related Items (7)

Riesz means and self-neglecting functions ⋮ Necessary conditions for renewal processes approximating to Wiener processes ⋮ Some recent developments concerning asymptotic distributions of pontograms ⋮ On one-sided strong laws for large increments of sums ⋮ Erdős-Rényi-Type Functional Limit Laws for Renewal Processes ⋮ Large deviations for renewal processes ⋮ Strong limit theorems for increments of renewal processes

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