Correlation matching method for the weak stationarity test of LRD traffic

Telecommunication Systems

Volumn 43, Issue 3-4, 2010, Pages 181-195

  Li, Ming ^a   Chen, Wen Sheng ^b   Han, Lixin ^c  

^a EAST CHINA NORMAL UNIVERSITY   (China)

^b SHENZHEN UNIVERSITY   (China)

^c HOHAI UNIVERSITY   (China)

Author keywords

Autocorrelation function; Long range dependence; Network traffic; Stationarity test

Indexed keywords

AUTOCORRELATION FUNCTIONS; CORRELATION MATCHING; FINITE LENGTH; LONG RANGE DEPENDENCE; LONG-RANGE DEPENDENT TRAFFIC; NETWORK TRAFFIC; NONSTATIONARY; REAL TRAFFIC; STATIONARITY; TRAFFIC ENGINEERING; TRAFFIC THEORIES; TRAFFIC TRACES;

CORRELATION DETECTORS; REGRESSION ANALYSIS; STOCHASTIC SYSTEMS; TELECOMMUNICATION TRAFFIC; VIDEO STREAMING;

TESTING;

EID: 77951023690     PISSN: 10184864     EISSN: 15729451     Source Type: Journal    
DOI: 10.1007/s11235-009-9206-5     Document Type: Article

References (30)

1. Papoulis, A. (1984). Probability, random variables, and stochastic processes. New York: McGraw-Hill.
2. Priestley, M. B. (1965). Evolutionary spectra and non-stationary processes. Journal of the Royal Statistical Society: Series B, 27(2), 204-237.
3. Al-Shoshan, A. I. (1999). Time-varying modeling of a nonstationary signal. Telecommunication Systems, 12(4), 389-396.
4. Bendat, J. S., & Piersol, A. G. (2000). Random data: analysis and measurement procedure (3rd ed.). New York: Wiley.
5. Von Sachs, R., & Neumann, M. H. (2000). A wavelet-based test for stationarity. Journal of Time Series Analysis, 21(5), 597-613.
6. Ling, S. (2004). Estimation and testing stationarity for doubleautoregressive models. Journal of the Royal Statistical Society: Series B, 66(1), 63-78. (Pubitemid 38203121)
7. Psaradakis, Z. (2006). Blockwise bootstrap testing for stationarity. Statistics & Probability Letters, 76(6), 562-570. (Pubitemid 43285733)
8. Rodrigues, P. M. M., & Rubia, A. (2008). A note on testing for nonstationarity in autoregressive processes with level dependent conditional heteroskedasticity. Statistical Papers, 49(3), 581-593.
9. Borgnat, P., & Flandrin, P. (2009). Stationarization via surrogates. Journal of Statistical Mechanics: Theory and Experiment, 29, 1-14.
10. Tsybakov, B., & Georganas, N. D. (1998). Self-similar processes in communications networks. IEEE Transactions on Information Theory, 44(5), 1713-1725. (Pubitemid 128738546)
11. Nogueira, A., Salvador, P., Valadas, R., & Pacheco, A. (2003). Modeling network traffic with multifractal behavior. Telecommunication Systems, 24(2-3), 339-362. (Pubitemid 38094074)
12. Li, M. (2007). Modeling autocorrelation functions of long-range dependent teletraffic series based on optimal approximation in Hilbert space-a further study. Applied Mathematical Modelling, 31(3), 625-631. (Pubitemid 44712655)
13. Leland, W. E., Taqqu, M. S., Willinger, W., & Wilson, D. V. (1994). On the self-similar nature of Ethernet traffic (extended version). IEEE/ACM Transactions on Networking, 2(1), 1-15.
14. Paxson, V., & Floyd, S. (1995). Wide area traffic: the failure of Poisson modeling. IEEE/ACM Transactions on Networking, 3(3), 226-244.
15. Beran, J. (1994). Statistics for long-memory processes. London: Chapman & Hall.
16. Jin, X., & Min, G. (2008). Performance modelling of generalized processor sharing systems with multiple self-similar traffic flows. Telecommunication Systems, 38(3-4), 111-120.
17. Mandelbrot, B. B. (1976). Note on the definition and the stationarity of fractional Gaussian noise. Journal of Hydrology, 30(4), 407-409.
18. Vaton, S. (1998). A new test of stationarity and its application to teletraffic data. In ICASSP'98: Vol.6. Proceedings of the 1998 IEEE international conference on acoustics, speech and signal processing (pp. 3449-3452). Seattle.
19. Abry, P., & Veitch, D. (1998). Wavelet analysis of long-range dependent traffic. IEEE Transactions on Information Theory, 44(1), 2-15.
20. Zhang, Y., Paxson, V., & Shenker, S. (2000). The stationarity of Internet path properties: routing, loss, and throughput (ACIRI Technical Report). May 2000.
21. Li, M., Zhang, Y.-Y., & Zhao, W. (2007). A practical method for weak stationarity test of network traffic with long-range dependence. International Journal of Mathematics and Computers in Simulation, 1(4), 307-311.
22. Heyman, D. P., & Lakshman, T. V. (1999). On the relevance of long-range dependence in network traffic. IEEE/ACM Transactions on Networking, 7(5), 629-640.
23. Liu, C., Wiel, S. V., & Yang, J. (2003). A nonstationary traffic train model for fine scale inference from coarse scale counts. IEEE Journal on Selected Areas in Communications, 21(6), 895-907.
24. Rincón, D., & Sallent, S. (2005). In LNCS: Vol.3375. Online segmentation of non-stationary fractal network traffic with wavelet transforms and log-likelihood-based statistics (pp. 110-123). Berlin: Springer.
25. Mitra, S. K., & Kaiser, J. F. (Eds.) (1993). Handbook for digital signal processing. New York: Wiley.
26. Fu, K. S. (Ed.) (1976). Digital pattern recognition. Berlin: Springer.
27. Li, M. (2005). An iteration method to adjusting random loading for a laboratory fatigue test. International Journal of Fatigue, 27(7), 783-789. (Pubitemid 40455237)
28. http://ita.ee.lbl.gov/html/contrib/BC.html.
29. http://ita.ee.lbl.gov/html/contrib/DEC-PKT.html.
30. http://ita.ee.lbl.gov/html/contrib/LBL-PKT.html.