Higher-Order Correlations in Data Network Traffic

Lee, Chang-Yong

  • Published : 2004.12.30

Abstract

In this study, we investigate higher-order correlations in data network traffic. We, in particular, study the statistical properties of the volatility, a well-established concept in financial market analysis, of two sets of Ethernet LAN data network traffic. We find that the volatility follows a log-normal distribution regardless of the window size. The volatility is further analyzed by using a detrended fluctuation analysis (DFA), a method especially suitable for testing the long-range correlation of non-stationary data. With a DFA, we find that the volatility exhibits either a long-range dependence or 1/f noise, depending on the window size. Although the two sets of time series obtained from corresponding LAN traces show similar long-range correlations, their volatilities disclose somewhat different statistical properties.

Keywords

References

  1. IEEE/ACM Trans. Net. v.2 Leland, W.E.;Taqqu, M.S.;Willinger, W.;Wilson, D.
  2. IEEE Trans. Commun. v.43 Beran, J.;Sherman, R.;Taqqu, M.;Willinger, W.
  3. Proceedings of ACM SIGCOMM '94 Paxson, V.;Floyd, S.
  4. IEEE/ACM Trans. Net. v.5 Crovella, M.;Bestavros, A.
  5. Physica A v.233 Takayasu, M.;Takayasu, H.;Sato, T.
  6. Roy. Statis. Lecuture Note Ser. vol.4 Willinger, W.;Taqqu, M.;Erramilli, A.;Kelly, F.(ed.);Zachary, S.(ed.);Ziedins, I.
  7. IEEE/ACM Trans. Net. v.5 Willinger, W.;Taqqu, M.;Sherman, R.;Wilson, D.
  8. Physica A v.293 Nakayama, A.
  9. Physica A v.293 Nakayama, A.
  10. Physica A v.277 Takyasu, M.;Takayasu, H.;Fukuda, K.
  11. Phys. Rev. E v.66 Woolf, M.;Arrowsmith, D.K.;Mondragon-C, R.J.
  12. Phys. Rev. E v.61 Yuan, Jian;Ren, Yong;Shan, Xiumming
  13. Physica A v.312 Valverde, Sergi;Ricard V. Sole
  14. Proc. Natl. Acad. Sci. v.99 Willinger, W.;Govindan, R.;Jamin, S.;Paxon, V.;Shenker, S.
  15. Phys. Rev. Lett. v.92 M. Argollo de Menezes;Barabasi, A.L.
  16. Phys. Rev. Lett. v.93 M. Argollo de Menezes;Barabasi, A.L.
  17. Long-Memory Processes Beran, Jan
  18. Chaos v.5 Peng, C.K.;Havlin, S.;Stanley, H.E.;Goldberger, A.
  19. An Introduction to Econophysics Mantegna, R.;Stanldy, E.
  20. Phys. Rev. E v.60 Liu, Y.;Gopikrishna, P.;Cizeau, P.;Meyer, M.;Peng, C.K.;Stanley, H.E.
  21. J. Empirical Finance v.3 Pagan, A.
  22. Density Estimation for Statistics and Data Analysis Silverman, B.
  23. Econometrica v.50 Engle, R.
  24. J. Econometrics v.31 Bollerslev, T.
  25. J. Korean Phys. Soc. v.44 Lee, C.Y.;Kim, S.
  26. J. Korean Phys. Soc. v.40 Kim, H.J.;Kim, I.M.
  27. J. Korean Phys. Soc. v.44 Lee, K.;Lee, J.