Convergence of Sample Autocorrelation of Long-Range Dependent Traffic

Convergence of Sample Autocorrelation of Long-Range Dependent Traffic

We depict our work on a fundamental issue in the theory of long-range dependent traffic in the aspect of the convergence of sample autocorrelation function (ACF) of real traffic. The present results suggest that the sample ACF of traffic is convergent. In addition, we show that the sample size has c...

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Main Authors: Ming Li, Wei Zhao
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/725730
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spelling doaj-68d8c6675e0d4fed9a9294d9b926b3d22020-11-24T21:13:36ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/725730725730Convergence of Sample Autocorrelation of Long-Range Dependent TrafficMing Li0Wei Zhao1School of Information Science & Technology, East China Normal University, No. 500, Dongchuan Road, Shanghai 200241, ChinaDepartment of Computer and Information Science, University of Macau, Avenida Padre Tomas Pereira, Taipa 1356, MacauWe depict our work on a fundamental issue in the theory of long-range dependent traffic in the aspect of the convergence of sample autocorrelation function (ACF) of real traffic. The present results suggest that the sample ACF of traffic is convergent. In addition, we show that the sample size has considerable effects in estimating the sample ACF of traffic. More precisely, a sample ACF of traffic tends to be smoother when the sample size increases.http://dx.doi.org/10.1155/2013/725730
collection DOAJ
language English
format Article
sources DOAJ
author Ming Li
Wei Zhao
spellingShingle Ming Li
Wei Zhao
Convergence of Sample Autocorrelation of Long-Range Dependent Traffic
Mathematical Problems in Engineering
author_facet Ming Li
Wei Zhao
author_sort Ming Li
title Convergence of Sample Autocorrelation of Long-Range Dependent Traffic
title_short Convergence of Sample Autocorrelation of Long-Range Dependent Traffic
title_full Convergence of Sample Autocorrelation of Long-Range Dependent Traffic
title_fullStr Convergence of Sample Autocorrelation of Long-Range Dependent Traffic
title_full_unstemmed Convergence of Sample Autocorrelation of Long-Range Dependent Traffic
title_sort convergence of sample autocorrelation of long-range dependent traffic
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description We depict our work on a fundamental issue in the theory of long-range dependent traffic in the aspect of the convergence of sample autocorrelation function (ACF) of real traffic. The present results suggest that the sample ACF of traffic is convergent. In addition, we show that the sample size has considerable effects in estimating the sample ACF of traffic. More precisely, a sample ACF of traffic tends to be smoother when the sample size increases.
url http://dx.doi.org/10.1155/2013/725730
work_keys_str_mv AT mingli convergenceofsampleautocorrelationoflongrangedependenttraffic
AT weizhao convergenceofsampleautocorrelationoflongrangedependenttraffic
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