¹Department of Electronic and Information Engineering, Guangzhou University, Guangzhou, P. R. China
²Institute of Information and Communication, Chonbuk National University,Korea
³Information and Network Research Center, Guangdong Food and Drug Vocational College, Guangzhou, P. R. China

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Abstract—In the last two decades, an enormous increase in empirical studies from the view of different network layer and from a variety of different networks has been seen. However ICMP traffic of Internet is ignored all along. In view of this, the contribution of this paper aims at filling such a gap in studying self-similarity and heavy-tail in ICMP traffic. Five different type DATA sets are investigated—including WAN data as well as LAN data, and including ICMPv4 data as well as ICMPv6 data. Our central results are the following: Firstly, ICMP packets arrival process is Long-Range Dependent and Self-Similar. Secondly, interarrival time for ICMP packets arrival process is Heavy-Tailed.

Index Terms—ICMPv4, ICMPv6, Self-Similarity, Heavy- Tailed, Long-Range Dependence.

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Cite: Wai-xi Liu, Yi-er Yan, Tang Dong, Tang Run-hua, "Self-Similarity and Heavy-Tail of ICMP Traffic," Journal of Computers vol. 7, no. 12, pp. 2948-2954, 2012.