On the optimality of strong approximation rates for compound renewal processes
type: Item
instance of: scholarly article
title: On the optimality of strong approximation rates for compound renewal processes
zbMATH Open document ID: 0641.60093
DOI: 10.1016/0167-7152(88)90072-7
published in: Statistics \& Probability Letters
publication date: 1988-01-01T00:00:00Z
review text: The author proves extensions and converses of some results of \textit{M. Csörgó}, \textit{P. Deheuvels} and \textit{L. Horváth}, Adv. Appl. Probab. 19, 674-690 (1987; Zbl 0627.60042).
Mathematics Subject Classification ID: 60K05
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 4044910
zbMATH Keywords: strong invariance principles
author: J. G. Steinebach
reviewed by: S. N. U. A. Kirmani
MaRDI profile type: Publication
full work available at URL: 0167-7152(88)90072-7
OpenAlex ID: W1992493334
cites work: On the Rate of Convergence in the Invariance Principle for Generalized Renewal Processes
cites work: An approximation of stopped sums with applications in queueing theory
cites work: Invariance principles for renewal processes
cites work: Q3326516
cites work: Q5512461
cites work: Some results on increments of the Wiener process with applications to lag sums of i.i.d. random variables
cites work: Strong approximation of certain stopped sums
cites work: Strong approximations of renewal processes and their applications
cites work: An approximation of partial sums of independent RV'-s, and the sample DF. I
cites work: An approximation of partial sums of independent RV's, and the sample DF. II
cites work: The approximation of partial sums of independent RV's
cites work: Q3725256
Recommended article: Q3736627
Recommended article: Strong approximations of renewal processes and their applications
Recommended article: Strong approximation of renewal processes
Recommended article: Q3806478
Recommended article: Strong approximation of extended renewal processes
Recommended article: Q4825412
Recommended article: Improved Erdős-Rényi and strong approximation laws for increments of renewal processes
Recommended article: On Exact Large Deviation Principles for Compound Renewal Processes
Recommended article: On large deviation principles for compound renewal processes
description: scientific article; zbMATH DE number 4044910