On the asymptotic distribution of multivariate renewal processes-Reference-Cited by-同舟云学术

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On the asymptotic distribution of multivariate renewal processes

Published:1984-09 Issue:3 Volume:21 Page:639-645
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Niculescu Ştefan P.

Abstract

Using a result of Bikjalis (1971) concerning the rate of convergence in the multidimensional central limit theorem we obtain informations about some limit distributions in multivariate renewal theory.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference5 articles.

1. An invariance principle in k-dimensional extended renewal theory

2. The exact order of normal approximation in bivariate renewal theory

3. On the central limit theorem in Rk. I. (in Russian);Bikjalis;Litovsk. Mat. Sb.,1971

4. Renewal theory in two dimensions: asymptotic results

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Limit theorems for mixed max–sum processes with renewal stopping;The Annals of Applied Probability;2004-11-01

2. Average error in the central limit theorem for the cumulative processes;Statistics & Probability Letters;1995-08

3. A Central Limit Theorem for Cumulative Processes;Advances in Applied Probability;1994-03

4. A Central Limit Theorem for Cumulative Processes;Advances in Applied Probability;1994-03

5. A central limit theorem by remainder term for renewal processes;Advances in Applied Probability;1992-06

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