On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Analysis, modeling and generation of self-similar VBR video traffic
SIGCOMM '94 Proceedings of the conference on Communications architectures, protocols and applications
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Modeling and simulation of self-similar variable bit rate compressed video: a unified approach
SIGCOMM '95 Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
What are the implications of long-range dependence for VBR-video traffic engineering?
IEEE/ACM Transactions on Networking (TON)
Conference proceedings on Applications, technologies, architectures, and protocols for computer communications
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
On the relevance of long-range dependence in network traffic
IEEE/ACM Transactions on Networking (TON)
Real-time estimation of the parameters of long-range dependence
IEEE/ACM Transactions on Networking (TON)
Tail probabilities for M/G/\infty input processes (I): Preliminary asymptotics
Queueing Systems: Theory and Applications
PMCCN '97 Proceedings of the IFIP TC6 / WG6.3 & WG7.3 International Conference on the Performance and Management of Complex Communication Networks
M|G|Infinity Input Processes: A Versatile Class of Models for Network Traffic
INFOCOM '97 Proceedings of the INFOCOM '97. Sixteenth Annual Joint Conference of the IEEE Computer and Communications Societies. Driving the Information Revolution
IEEE Transactions on Multimedia
Wavelet analysis of long-range-dependent traffic
IEEE Transactions on Information Theory
A wavelet-based joint estimator of the parameters of long-range dependence
IEEE Transactions on Information Theory
Traffic models in broadband networks
IEEE Communications Magazine
The effect of multiple time scales and subexponentiality in MPEG video streams on queueing behavior
IEEE Journal on Selected Areas in Communications
Modeling video traffic using M/G/∞ input processes: a compromise between Markovian and LRD models
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
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Since the publication of the Bellcore measurements in the early nineties, long-range dependence (LRD) has been in the center of a continuous debate within the teletraffic community. While researchers largely acknowledge the significance of the LRD phenomenon, they still disagree on two issues: (1) the utility of LRD models in buffer dimensioning and bandwidth allocation, and (2) the ability of commonly used statistical tools to differentiate between true LRD and other potential interpretations of it (e.g., non-stationarity). This paper is related to the second issue. More specifically, our objective is to analytically demonstrate the limitations of variance-type indicators of LRD. Our work is not meant to advocate a particular modeling philosophy (be it LRD or SRD), but rather to emphasize the potential misidentification caused by the inherent bias in variance-type estimators. Such misidentification could lead one to wrongly conclude the presence of an LRD structure in a sequence that is known to be SRD. Our approach is based on deriving simple analytical expressions for the slope of the aggregated variance in three autocorrelated traffic models: a class of SRD (but non-Markovian) M/G/∞ processes, the discrete autoregressive of order one model (SRD Markovian), and the fractional ARIMA process (LRD). Our main result is that a variance-type estimator often indicates, falsely, the existence of an LRD structure (i.e., H 0.5) in synthetically generated traces from the two SRD models. The bias in this estimator, however, diminishes monotonically with the length of the trace. We provide some guidelines on selecting the minimum trace length so that the bias is negligible. We also contrast the VT estimator with three other estimation techniques.