Analysis of LRD Series with Time-Varying Hurst Parameter

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Autor principal: Sergio Ledesma Orozco
Formato: Artículo científico
Lenguaje:en
Publicado: Instituto Politécnico Nacional 2010
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author Sergio Ledesma Orozco
author_facet Sergio Ledesma Orozco
contents Analysis of LRD Series with Time-Varying Hurst Parameter Sergio Ledesma Orozco Gustavo Cerda Villafaña Gabriel Aviña Cervantes Donato Hernández Fusilier Miguel Torres Cisneros Computación self long time similarity range dependence It has been previously shown that actual network traffic exhibits long-range dependence. The Hurst parameter captures the degree of long-range dependence; however, because of the nature of computer network traffic, the Hurst parameter may not remain constant over a long period of time. An iterative method to compute the value of the Hurst parameter as a function of time is presented and analyzed. Experimental results show that the proposed method provides a good estimation of the Hurst parameter as a function of time. Additionally, this method allows the detection on changes of the Hurst parameter for long data series. The proposed method is compared with traditional methods for Hurst parameter estimation. Actual and synthetic traffic traces are used to validate our results. The proposed method allows detecting the changing points on the Hurst parameter, and better results can be obtained when modeling self-similar series using several values of the Hurst parameter instead of only one for the entire series. A new graphical tool to analyze long-range dependent series is proposed. Because of the nature of this plot, it is called the transition-variance plot. This tool may be helpful to distinguish between LAN and WAN traffic. Finally, the software LRD Lab* is deployed to analyze and synthesize long-range dependent series. The LRD Lab includes a simple interface to easily generate, analyze, visualize and save long-range dependent series. 2010 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61519182005 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.13
format Artículo científico
id redalyc_61519182005
institution Redalyc
language en
publishDate 2010
publisher Instituto Politécnico Nacional
spellingShingle Analysis of LRD Series with Time-Varying Hurst Parameter
Sergio Ledesma Orozco
Computación
self
long
time
similarity
range dependence
Analysis of LRD Series with Time-Varying Hurst Parameter Sergio Ledesma Orozco Gustavo Cerda Villafaña Gabriel Aviña Cervantes Donato Hernández Fusilier Miguel Torres Cisneros Computación self long time similarity range dependence It has been previously shown that actual network traffic exhibits long-range dependence. The Hurst parameter captures the degree of long-range dependence; however, because of the nature of computer network traffic, the Hurst parameter may not remain constant over a long period of time. An iterative method to compute the value of the Hurst parameter as a function of time is presented and analyzed. Experimental results show that the proposed method provides a good estimation of the Hurst parameter as a function of time. Additionally, this method allows the detection on changes of the Hurst parameter for long data series. The proposed method is compared with traditional methods for Hurst parameter estimation. Actual and synthetic traffic traces are used to validate our results. The proposed method allows detecting the changing points on the Hurst parameter, and better results can be obtained when modeling self-similar series using several values of the Hurst parameter instead of only one for the entire series. A new graphical tool to analyze long-range dependent series is proposed. Because of the nature of this plot, it is called the transition-variance plot. This tool may be helpful to distinguish between LAN and WAN traffic. Finally, the software LRD Lab* is deployed to analyze and synthesize long-range dependent series. The LRD Lab includes a simple interface to easily generate, analyze, visualize and save long-range dependent series. 2010 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61519182005 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.13
title Analysis of LRD Series with Time-Varying Hurst Parameter
topic Computación
self
long
time
similarity
range dependence
url https://www.redalyc.org/articulo.oa?id=61519182005