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On the self-similar nature of Ethernet traffic (extended version)

- W. Leland, M. Taqqu, W. Willinger, D. V. Wilson
- Computer ScienceTNET
- 1 February 1994

Demonstrates that Ethernet LAN traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal-like behavior, that such behavior has serious… Expand

Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance

- G. Samorodnitsky, M. Taqqu
- Mathematics
- 1 June 1995

Stable random variables on the real line Multivariate stable distributions Stable stochastic integrals Dependence structures of multivariate stable distributions Non-linear regression Complex stable… Expand

Large-Sample Properties of Parameter Estimates for Strongly Dependent Stationary Gaussian Time Series

On propose un estimateur consistant et asymptotiquement normal sous des conditions appropriees qui sont satisfaites par un bruit gaussien fractionnaire et par un ARMA fractionnaire

Weak convergence to fractional brownian motion and to the rosenblatt process

- M. Taqqu
- ArtAdvances in Applied Probability
- 1 June 1975

The invention relates to apparatus for the wet-treatment of textile materials particularly in endless web or rope form whether as yarn or made-up. Wet-treatment liquid, particularly dye liquor is… Expand

Self-similarity through high-variability: statistical analysis of Ethernet LAN traffic at the source level

- W. Willinger, M. Taqqu, R. Sherman, D. V. Wilson
- Computer ScienceTNET
- 1 February 1997

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On the self-similar nature of Ethernet traffic

- W. Leland, M. Taqqu, W. Willinger, D. V. Wilson
- Computer ScienceSIGCOMM '93
- 1 October 1993

We demonstrate that Ethernet local area network (LAN) traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal behavior, and that such… Expand

Convergence of integrated processes of arbitrary Hermite rank

- M. Taqqu
- Mathematics
- 1979

SummaryLet {X(s), −∞<s<∞} be a normalized stationary Gaussian process with a long-range correlation. The weak limit in C[0,1] of the integrated process
$$Z_x \left( t \right) = \frac{1}{{d\left( x… Expand

Self-similarity through high-variability: statistical analysis of ethernet LAN traffic at the source level

- W. Willinger, M. Taqqu, R. Sherman, D. V. Wilson
- Computer ScienceSIGCOMM '95
- 1 October 1995

TLDR

The Empirical Process of some Long-Range Dependent Sequences with an Application to $U$-Statistics

- H. Dehling, M. Taqqu
- Mathematics
- 1 December 1989

Soient (X j ) un processus stationnaire gaussien de moyenne zero avec des covariances r(k)=EX k+1 X 1 , satisfaisant certaines conditions, et un processus empirique associe F N (x, t), processus a… Expand

Proof of a fundamental result in self-similar traffic modeling

- M. Taqqu, W. Willinger, R. Sherman
- Computer ScienceCCRV
- 1 April 1997

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