A Time-Varying FARIMA Model for Internet Traffic

We present a time-varying fractional autoregressive integrated moving average model and the methodology to fit this model to a non-stationary time series with local stationarity. Our experiments illustrate that the proposed model is able to capture the non-stationarity of traffic with time-varying parameters. An application to Internet traffic data is presented.

[1]  Ilkka Norros,et al.  A storage model with self-similar input , 1994, Queueing Syst. Theory Appl..

[2]  J. S. Marron,et al.  LASS: a tool for the local analysis of self-similarity , 2006, Comput. Stat. Data Anal..

[3]  Sally Floyd,et al.  Wide area traffic: the failure of Poisson modeling , 1995, TNET.

[4]  Murad S. Taqqu,et al.  Asymptotic self‐similarity and wavelet estimation for long‐range dependent fractional autoregressive integrated moving average time series with stable innovations , 2005 .

[5]  Walter Willinger,et al.  On the self-similar nature of Ethernet traffic , 1993, SIGCOMM '93.

[6]  J. R. M. Hosking,et al.  FRACTIONAL DIFFERENCING MODELING IN HYDROLOGY , 1985 .

[7]  Walter Willinger,et al.  Long-range dependence in variable-bit-rate video traffic , 1995, IEEE Trans. Commun..

[8]  Walter Willinger,et al.  Analysis, modeling and generation of self-similar VBR video traffic , 1994, SIGCOMM.

[9]  C. Granger,et al.  AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING , 1980 .

[10]  A. I. McLeod,et al.  Fractional time series modelling , 1986 .

[11]  J. S. Marron,et al.  On the wavelet spectrum diagnostic for Hurst parameter estimation in the analysis of Internet traffic , 2005, Comput. Networks.

[12]  Michael Devetsikiotis,et al.  Modeling and simulation of self-similar variable bit rate compressed video: a unified approach , 1995, SIGCOMM '95.

[13]  Murad S. Taqqu,et al.  Robustness of whittle-type estimators for time series with long-range dependence , 1997 .