References
- Leland , W. E. , Taqqu , M. S. , Willinger , W. and Wilson , D. V. 1994 . On the self-similar nature of Ethernet traffic (extended version) . IEEE/ACM Transactions on Networking , 2 : 1 – 15 .
- Paxson , V. and Floyd , S. 1995 . Wide area traffic: the failure of Poisson modelling . IEEE/ACM Transactions on Networking , 3 : 226 – 224 .
- Park , K. and Willinger , W. 2000 . Self-similar Network Traffic and Performance Evaluation , Edited by: Park , K. and Willinger , W. New Jersey : John Willey & Sons .
- Abry , P. , Flandrin , P. , Taqqu , M. S. and Veitch , D. 2000 . “ Wavelets for the analysis, estimation and synthesis of scaling data ” . In Self-Similar Network Traffic and Performance Evaluation , Edited by: Park , K. and Willinger , W. 39 – 88 . New York : Wiley (Interscience Division) .
- Abry , P. , Flandrin , P. , Taqqu , M. S. and Veitch , D. 2002 . “ Self-similarity and long-range dependence through the wavelet lens ” . In Theory and Applications of Long Range Dependence , Edited by: Doukhan , P. , Oppenheim , G. and Taqqu , M. S. Boston : Birkhäuser .
- Veitch , D. and Abry , P. 1999 . A wavelet based joint estimator of the parameters of long-range dependence . IEEE Transactions on Information Theory special issue on “Multiscale Statistical Signal Analysis and its Applications” , 45 ( 3 ) : 878 – 897 .
- Samorodnitsky , G. and Taqqu , M. S. 1994 . Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance , Chapman & Hall .
- Willinger , W. , Paxson , V. and Taqqu , M. S. 1998 . “ Self-similarity and heavy tails: structural modeling of network traffic ” . In A Practical Guide to Heavy Tails: Statistical Techniques and Applications , Edited by: Feldman , R. , Adler , R. and Taqqu , M. S. Boston : Birkhäuser .
- Karasaridis , A. and Hatzinakos , D. 2001 . Network heavy traffic modeling using α-stable self-similar processes . IEEE Transactions on Communications , 49 ( 7 ) : 1203 – 1214 .
- Percival , D. B. and Walden , A. T. 2000 . Wavelet Methods for Time Series Analysis , Cambridge : Cambridge University Press .
- Abry , P. , Taqqu , M. S. and Pesquet-Popescu , B. Wavelet based estimators for self similar α-stable processes . International conference on Signal Processing, 16th World Computer Congress . Beijing. Available online at: http://www.ens-lyon.fr/∼pabry/
- Stoev , S. , Pipiras , V. and Taqqu , M. S. 2002 . Estimation of the self-similarity parameter in linear fractional stable motion . Signal Processing , 80 : 1873 – 1901 .
- Abry , P. , Delbeke , L. and Flandrin , P. Wavelet-based estimator for the self–similarity parameter of α-stable processes . Proceedings of the IEEE-International Conference on Acoustics, Speech and Signal Processing . pp. 1729 – 1732 .
- Daubechies , I. 1992 . Ten lectures on wavelets , Vol. 61 , Philadelphia : SIAM . CBMS-NSF series
- Percival , D. B. , Sardy , S. and Davison , A. C. 2000 . “ Wavestrapping time series: adaptive wavelet based bootstrapping ” . In Nonlinear and Nonstationary Signal Processing , Edited by: Fitzgerald , W. J. , Smith , R. L. , Walden , A. T. and Young , P. C. 442 – 471 . Cambridge University Press .
- Stoev , S. and Taqqu , M. 2004 . Simulation methods for linear fractional stable motion and FARIMA using the Fast Fourier Transform . Fractals , 12 : 95 – 121 .
- Veitch , D. and Abry , P. 2001 . A statistical test for the time constancy of scaling exponents . IEEE Transactions on Signal Processings , 49 ( 10 ) : 2325 – 2334 .
- Veitch , D. and Abry , P. 2002 . “ A statistical test for the time constancy of scaling exponents-extended version ” . University of Melbourne . Technical Reportm, Available online at http://www.emulab.ee.mu.oz.au/∼darryl/
- Katkovnik , V. 1999 . A new method for varying adaptive bandwidth selection . IEEE Transactions on Signal Processing , 47 ( 9 ) : 2567 – 2571 .