Open Access
October, 1987 Invariance Principles for Renewal Processes
Miklos Csorgo, Lajos Horvath, Josef Steinebach
Ann. Probab. 15(4): 1441-1460 (October, 1987). DOI: 10.1214/aop/1176991986

Abstract

We present a general methodology for proving invariance principles for renewal processes, resulting in almost sure and probability inequality approximations. We show that our obtained rates are best possible in the i.i.d. case.

Citation

Download Citation

Miklos Csorgo. Lajos Horvath. Josef Steinebach. "Invariance Principles for Renewal Processes." Ann. Probab. 15 (4) 1441 - 1460, October, 1987. https://doi.org/10.1214/aop/1176991986

Information

Published: October, 1987
First available in Project Euclid: 19 April 2007

zbMATH: 0635.60032
MathSciNet: MR905341
Digital Object Identifier: 10.1214/aop/1176991986

Subjects:
Primary: 60F17
Secondary: 60K05

Keywords: Probability inequalities , Prohorov-Levy distance , Renewal process , strong approximation , Wiener process

Rights: Copyright © 1987 Institute of Mathematical Statistics

Vol.15 • No. 4 • October, 1987
Back to Top