On the testing for alpha-stable distributions of network traffic

  • Authors:
  • Ge Xiaohu;Zhu Guangxi;Zhu Yaoting

  • Affiliations:
  • Department of Electronics & Information Engineering, Huazhong University of Science & Technology, Luo Yu Road 1037, Wuhan 430074, China;Department of Electronics & Information Engineering, Huazhong University of Science & Technology, Luo Yu Road 1037, Wuhan 430074, China;Department of Electronics & Information Engineering, Huazhong University of Science & Technology, Luo Yu Road 1037, Wuhan 430074, China

  • Venue:
  • Computer Communications
  • Year:
  • 2004

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Abstract

We demonstrate that the distribution of packet arrival and the distribution of byte arrival in Ethernet network traffic are the alpha-stable distributions. Our conclusions are supported by rigorous statistical analyses of one million packets measured from the actual network traffic and three different statistical methods, coupled with a discussion of the underlying definition and statistical properties of the alpha-stable distribution and related theories of statistical methods. At last, we discuss the future research work based on the results of this paper