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Abstract: This paper provides a bibliographical guide to researchers and traffic engineers who are interested in self-similar traffic modeling and analysis. It lists some of the most recent network traffic studies and includes surveys and research papers in the areas of data analysis, statistical inference, mathematical modeling, queueing and performance analysis. It also contains references to other areas of applications (e.g., hydrology, economics, geophysics, biology and biophysics) where similar... (Update)
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29: the Self-Similar Nature of Ethernet Traffic - Leland, Taqqu et al. - 1993
22: Wide-area Traffic: The Failure of Poisson Modeling - Paxson, Floyd - 1995
19: Wavelet analysis of long range dependent traffic - Abry, Veitch - 1998
BibTeX entry: (Update)
W. Willinger, M. S. Taqqu and A. Erramilli, A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks, in Stochastic Networks, F. P. Kelly, S. Zachary and I. Ziedins (eds.), Oxford University Press, Oxford, 1996, 339--366. http://citeseer.ist.psu.edu/willinger96bibliographical.html More
@misc{ willinger96bibliographical,
author = "W. Willinger and M. Taqqu and A. Erramilli",
title = "A bibliographical guide to self-similar traffic and performance modeling
for modern high-speed networks",
text = "W. Willinger, M. S. Taqqu and A. Erramilli, A bibliographical guide to
self-similar traffic and performance modeling for modern high-speed networks,
in Stochastic Networks, F. P. Kelly, S. Zachary and I. Ziedins (eds.), Oxford
University Press, Oxford, 1996, 339--366.",
year = "1996",
url = "citeseer.ist.psu.edu/willinger96bibliographical.html" }
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692 the selfsimilar nature of Ethernet traffic - Leland, Taqqu et al. - 1994
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508 The Fractal Geometry of Nature (context) - Mandelbrot - 1982
371 Time Series Analysis: Forecasting and Control (context) - Box, Jenkins et al. - 1994
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294 Long-range dependence in variable-bit-rate video traffic (context) - Beran, Sherman et al. - 1995
283 Stochastic theory of a datahandling system with multiple sou.. (context) - Anick, Mitra et al. - 1982
272 Time Series: Theory and Methods (context) - Brockwell, Davis - 1991
232 Effective bandwidth of general Markovian traffic sources and.. (context) - Elwalid, Mitra - 1993
190 Experimental queueing analysis with long-range dependent pac.. - Erramilli, Narayan et al. - 1996
176 An Introduction to Chaotic Dynamical Systems (context) - Devaney - 1989
166 modeling and generation of self-similar VBR video traffic (context) - Garrett, Willinger - 1994
152 Fractal Geometry: Mathematical Foundations and Applications (context) - Falconer - 1993
149 Long-range dependence: a review (context) - Cox - 1984
145 A Markov modulated characterization of packetized voice and .. (context) - Heffes, Lucantoni - 1986
142 Effective bandwidths for multiclass Markov fluids and other .. - Kesidis, Walrand et al. - 1993
138 Packet trains: Measurements and a new model for computer net.. (context) - Jain, Routhier - 1986
136 Large deviation and overflow probabilities for the general s.. - Duffield, O'Connell - 1995
130 Effective bandwidths at multi-class queues (context) - Kelly - 1991
115 Notes on effective bandwidths - Kelly - 1996
111 Logarithmic asymptotics for steady-state tail probabilities .. - Glynn, Whitt - 1994
101 Fundamental bounds and approximations for ATM multiplexers w.. - Elwalid, Heyman et al. - 1995
97 Traffic modeling for telecommunications networks (context) - Frost, Melamed - 1994
94 Fractional differencing (context) - Hosking - 1981
94 Wavelet analysis and synthesis of Fractional Brownian motion (context) - Flandrin - 1992
82 fractional noises and applications (context) - Mandelbrot, Van Ness et al. - 1968
80 High time-resolution measurement and analysis of LAN traffic.. - Leland, Wilson - 1991
79 Analysis of an ATM buffer with self-similar (context) - Likhanov, Tsybakov et al. - 1995
78 Characteristics of wide-area TCP/IP conversations (context) - Caceres, Danzig et al. - 1991
76 An empirical workload model for driving wide-area tcp/ip net.. - Danzig, Jamin et al. - 1992
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67 A simple general approach to inference about the tail of a d.. (context) - Hill - 1975
66 Iterated maps on the interval as dynamical systems (context) - Collet, Eckmann - 1980
64 The estimation and application of long memory time series mo.. (context) - Geweke, Porter-Hudak - 1983
64 The behavior of stock market prices (context) - Fama - 1965
61 A measurement study of diskless workstation traffic on an et.. (context) - Gusella - 1990
58 Statistical methods for data with long-range dependence (context) - Beran - 1992
58 Queue response to input correlation functions: Discrete spec.. - Li, Hwang - 1993
56 Modeling and simulation of self-similar variable bit rate co.. (context) - Huang, Devetsikiotis et al. - 1995
55 Contributions Toward Real-Time Services on Packet Switched N.. (context) - Garrett - 1993
49 Some results on regular variation for distributions in queue.. (context) - Cohen - 1973
48 Link capacity allocation and network control by filtered inp.. - Li, Chong et al. - 1995
42 Large-sample properties of parameter estimates for strongly .. (context) - Fox, Taqqu - 1986
39 An application of deterministic chaotic maps to model packet.. (context) - Erramilli, Singh et al. - 1995
38 Application of sampling methodologies to network traffic cha.. - Claffy, Braun et al. - 1993
38 Economies of scale in queues with sources having power-law l.. - Duffield - 1994
36 Space-time modelling with long-memory dependence: assessing .. (context) - Haslett, Raftery - 1989
36 Effective bandwidth in high-speed digitalnetworks - Cheng, Thomas - 1995
36 Local area network traffic characteristics with implications.. - Fowler, Leland - 1991
36 Robust Statistics (context) - Hampel, Ronchetti et al. - 1986
35 On resource management and QoS guarantees for long-range dep.. - Adas, Mukherjee - 1994
35 Waiting-time tail probabilities in queues with long-tail ser.. - Abate, Choudhury et al. - 1994
35 Traffic characterization of the NSFNET national backbone (context) - Heimlich - 1990
34 Computer experiments with fractional Gaussian noises (context) - Mandelbrot, Wallis - 1969
33 Long memory processes and fractional integration in economet.. (context) - Baillie - 1995
33 Self-similar error clusters in communications systems and th.. (context) - Mandelbrot - 1965
33 Characterizing the variability of arrival processes with ind.. - Gusella - 1991
32 Long-tail buffer-content distributions in broadband networks - Choudhury, Whitt - 1995
31 Plenum Press (context) - Feder - 1988
31 Modeling call holding time distributions for CCS network des.. (context) - Bolotin - 1994
30 Chaos and deterministic versus stochastic non-linear modelin.. (context) - Casdagli - 1991
30 Long-term memory in stock market prices (context) - Lo - 1991
30 Self-similar traffic generation: The random midpoint displac.. (context) - Lau, Erramilli et al. - 1995
29 Fractionally integrated generalized autoregressive condition.. (context) - Baillie, Bollerslev et al. - 1995
29 Heavy traffic analysis of a storage model with long-range de.. - Brichet, Roberts et al. - 1995
27 Entropy of ATM traffic streams: a tool for estimating QoS pa.. - Duffield, Lewis et al. - 1995
26 Limit theorems for workload input models (context) - Kurtz - 1996
26 Efficient parameter estimation for self similar processes (context) - Dahlhaus - 1989
25 Exponential bounds for queues with markovian arrivals (context) - Duffield - 1993
25 Some long-run properties of geophysical records (context) - Mandelbrot, Wallis - 1969
25 Modeling and pricing long-memory in stock market volatility (context) - Bollerslev, AE - 1994
23 Resource management in widearea ATM networks using effective.. - de Veciana, Kesidis et al. - 1995
23 The impact of autocorrelation on queueing systems (context) - Livny, Melamed et al. - 1993
22 Long memory relationships and aggregation of dynamic models (context) - Granger - 1980
22 A logarithmic reduction algorithm for quasi birth and death .. (context) - Latouche, Ramaswami - 1993
22 On input state space reduction and buffer noneffective regio.. - Hwang, Li - 1994
22 Statistical analysis of CCSN/SS7 traffic data from working C.. - Duffy, Mcintosh et al. - 1994
21 Chaotic maps as models of packet traffic - Erramilli, Singh et al. - 1994
20 the prediction of fractional Brownian motion - Gripenberg, Norros - 1996
20 Stochastic modeling of traffic processes - Jagerman, Melamed et al. - 1996
19 Statistical issues raised by the Bellcore data - Duffield, Lewis et al. - 1994
19 Optimal flow control schemes that regulate the burstiness of.. (context) - Konstantopoulos, Anantharam - 1995
18 the sojourn time of sessions at an ATM buffer with long-rang.. (context) - Anantharam - 1995
18 Fractal properties in packet traffic measurements (context) - Erramilli, Willinger - 1993
17 A central limit theorem for quadratic forms in strongly depe.. (context) - Giraitis, Surgailis - 1990
17 Long memory and persistence in aggregate output (context) - Diebold, Rudebusch - 1989
17 Regression-type estimation of the parameters of stable laws (context) - Koutrouvelis - 1980
17 Fractional Brownian motion: A maximum likelihood estimator a.. (context) - Lundahl, Ohley et al. - 1986
16 Fast simulation for self-similar traffic in ATM networks (context) - Huang, Devetsikiotis et al. - 1995
15 Ockham's razor and Bayesian analysis (context) - Jefferys, Berger - 1992
15 Some properties of symmetric stable distributions (context) - Fama, Roll - 1968
14 The qq-estimator and heavy tails - Kratz, Resnick - 1995
14 analysis of long-run serial correlation (context) - Mandelbrot, Taqqu - 1979
13 A fast fractional Gaussian noise generator (context) - Mandelbrot - 1971
13 Simple consistent estimators of stable distribution pa- 26 W.. (context) - McCulloch - 1986
13 Long memory in foreign exchange rates (context) - Cheung - 1993
13 International Economic Review (context) - Mandelbrot, locally et al. - 1969
12 The Hurst phenomenon: a puzzle (context) - Klemes - 1974
12 Central limit theorems for non-linear functionals of Gaussia.. (context) - Breuer, Major - 1983
12 The wavelet transform of stochastic processes with stationar.. (context) - Masry - 1993
12 Financial applications of stable distributions (context) - McCulloch - 1996
12 Tail estimates motivated by extreme value theory (context) - Davis, Resnick - 1984
12 Parameter estimates for symmetric stable distributions (context) - Fama, Roll - 1971
11 Self-similar traffic parameter estimation: a semi-parametric.. (context) - Lau, Erramilli et al. - 1995
11 The mean squared error of Geweke and Porter-Hudak's estimato.. (context) - Hurvich, Deo et al. - 1995
11 The asymptotic distributions of the range of sums of indepen.. (context) - Feller - 1951
11 Long-term dependence in common stock returns (context) - Greene, Fielitz - 1977
11 Simulation and Chaotic Behavior of ff-stable Stochastic Proc.. (context) - Janicki, Weron - 1994
10 Statistics of mixed data traffic on a local area network (context) - Marshall, Morgan - 1985
10 An introduction to long-memory time series and fractional di.. (context) - Granger, Joyeux - 1980
10 More limit theory for the sample correlation function of mov.. (context) - Davis, Resnick - 1985
10 Monitoring packet traffic levels (context) - Erramilli, Wang - 1994
10 Application of deterministic chaotic maps to characterize br.. (context) - Erramilli, Singh - 1990
10 Stable distributions in statistical inference (context) - DuMouchel - 1971
10 Statistical analysis of time series: some recent development.. (context) - Cox - 1981
9 Automatic semiparametric estimation of the memory parameter .. (context) - Hurvich, Beltrao - 1994
9 estimation for autoregressions with infinite variance (context) - Davis, Knight et al. - 1992
9 On maximum likelihood estimation of the differencing paramet.. (context) - Cheung, Diebold - 1994
9 A Characterization of the Variability of Packet Arrival Proc.. (context) - Gusella - 1990
9 Central limit theorems for quadratic forms in random variabl.. (context) - Fox, Taqqu - 1987
9 Limit theorems on the self-normalized range for weakly and s.. (context) - Mandelbrot - 1975
9 Methods of using long-term storage in reservoirs (context) - Hurst - 1955
9 Doubly stochastic Poisson point process driven by fractal sh.. (context) - Lowen, Teich - 1991
8 Maximum likelihood estimation of the differencing parameter .. (context) - Beran - 1995
8 Data analysis and self-similar processes (context) - Hampel - 1987
8 Tests for fractional integration: a Monte Carlo investigatio.. (context) - Cheung - 1993
8 The Pareto-L'evy law and the distribution of income (context) - Mandelbrot - 1960
8 Bayesian inference for stable distributions (context) - Buckle - 1995
7 Long-range dependence in Ethernet traffic offered to interco.. (context) - Cinotti, Mese et al. - 1994
7 probability and chaos (context) - Berliner - 1992
7 a and M. C. Mackey. Chaos, Fractals, and Noise -- Stochastic.. (context) - Lasot - 1994
7 Fractal traffic: Measurements modelling and performance (context) - Addie, Zuckerman et al. - 1994
6 Factors contributing to selfsimilarity over nsfnet (context) - Klivansky, Mukherjee et al. - 1994
6 Statistical aspects of self-similar processes (context) - Kunsch - 1987
6 Bandwidth choice in Gaussian semiparametric estimation of lo.. (context) - Henry, Robinson - 1996
6 An iterative procedure for the estimation of the parameters .. (context) - Koutrouvelis - 1981
6 Contrasts under long-range correlations (context) - Kunsch, Beran et al. - 1993
6 Multivariate Appell polynomials and the central limit theore.. (context) - Giraitis, Surgailis - 1986
6 Investigating dependence in packet queues with the index of .. (context) - Fendick, Saksena et al. - 1991
6 and exchange rate dynamics (context) - Baillie, Bollerslev et al. - 1994
6 A goodness of fit test for time series with long-range depen.. (context) - Beran - 1992
6 The integrated periodogram for long-memory processes with fi.. (context) - Kokoszka, Mikosch - 1995
5 Parameter estimation for infinite variance fractional ARIMA - Kokoszka, Taqqu - 1996
5 Engineering for realistic traffic: A fractal analysis of bur.. (context) - Erramilli, Gosby et al. - 1993
5 Stochastic modelling of riverflow time series (context) - Lawrence, Kottegoda - 1977
5 the asymptotic normality of the maximumlikelihood estimate w.. (context) - DuMouchel - 1973
5 Early ATM users lose data (context) - Csenger - 1994
5 Tracking long-term growth of the NSFNET backbone (context) - Claffy, Braun et al. - 1993
5 based on a multivariate Central Limit Theorem (context) - Beran, Terrin et al. - 1994
5 Subexponential asymptotics of a network multiplexer (context) - Jelenkovic, Lazar - 1995
5 Robustness of the rescaled range R/S in the measurement of n.. (context) - Mandelbrot, Wallis - 1969
5 Limit theorems for non-linear functionals of a stationary Ga.. (context) - Arcones - 1994
4 Lag window estimation of the degree of differencing in fract.. (context) - Chen, Abraham et al. - 1994
4 A class of micropulses and antipersistent fractional Brownia.. (context) - Cioczek-Georges, Mandelbrot - 1994
4 The integrated periodogram for stable processes (context) - Kluppelberg, Mikosch - 1995
4 Self-normalized and randomly centered spectral estimates (context) - Kluppelberg, Mikosch - 1996
4 Fractal renewal processes generate 1=f noise (context) - Lowen, Teich - 1993
4 Tables and graphs of the stable probability density function.. (context) - Holt, Crow - 1973
4 Efficient location and regression estimation for long range .. (context) - Dahlhaus - 1995
4 Smoothed periodogram asymptotics and estimation for processe.. (context) - Heyde, Gay - 1993
4 The expected value of the adjusted rescaled Hurst range of i.. (context) - Anis, Lloyd - 1976
4 On renewal processes having stable inter-renewal intervals a.. (context) - Levy, Taqqu - 1987
4 LAN traffic behavior from milliseconds to days (context) - Leland - 1990
4 IEEE Transactions on Communications (context) - Fendick, Saksena et al. - 1989
4 Non-central limit theorems for quadratic forms in random var.. (context) - Fox, Taqqu - 1985
4 Fractional ARIMA with stable innovations (context) - Kokoszka, Taqqu - 1995
4 Limit theorem for bivariate Appell polynomials: Part - Giraitis, Taqqu - 1995
4 fractal and statistics (context) - Chatterjee, Yilmaz - 1992
3 Long-Term Storage: An Experimental Study (context) - Hurst, Black et al. - 1965
3 MD- and LADestimators in linear regression models with long .. (context) - Koul, Mukherjee et al. - 1993
3 Infrared scene modeling and interpolation using fractional L.. (context) - Kogon, Manolakis - 1994
3 a class of random field models which allows long range depen.. (context) - Gay, Heyde - 1990
3 Linear parametric models for signals with long-range depende.. (context) - Kogon, Manolakis - 1995
3 Fractal traffic flows in highspeed communications networks (context) - Erramilli, Willinger et al. - 1994
3 Central limit theorem for functionals of a linear process (context) - Giraitis - 1985
3 Non-central limit theorems for non-linear functions of Gauss.. (context) - Dobrushin, Major - 1979
3 Long memory continuous time models (context) - Comte, Renault - 1995
3 Analyzing inflation by the fractionally integrated ARFIMA-GA.. (context) - Baillie, Chung et al. - 1995
3 the asymptotic expansion of the empirical process of long me.. (context) - Ho, Hsing - 1995
3 A central limit theorem for non-instantaneous filters of a s.. (context) - Ho, Sun - 1987
3 A test of location for data with slowly decaying serial corr.. (context) - Beran - 1989
3 Fractal model of ion-channel kinetics (context) - Liebovitch, Fischbarg et al. - 1987
3 Lagrange multiplier tests for fractional difference (context) - Agiakloglou, Newbold - 1994
3 Fractal structure of the interplanetary magnetic field (context) - Burlaga, Klein - 1986
3 waiting time distribution and its cumulants from pollaczek's.. (context) - Abate, Choudhury et al. - 1993
3 Discrete simulation of colored noise and stochastic processe.. (context) - Kasdin - 1995
3 Central limit theorems for quadratic forms with time-domain .. - Giraitis, Taqqu - 1996
3 Measuring tail thickness in order to estimate the stable (context) - McCulloch
2 Some limit theory for the self-normalized periodogram of sta.. (context) - Kluppelberg, Mikosch - 1994
2 Numerical approximation of the symmetric stable distribution.. (context) - McCulloch - 1994
2 Central limit theorem for polynomial forms (context) - Giraitis - 1989
2 Asymptotic normality of regression estimators with long memo.. (context) - Giraitis, Koul et al. - 1995
2 Prediction of infinite variance fractional ARIMA (context) - Kokoszka - 1995
2 Long memory in foreign exchange rates and sampling propertie.. (context) - Cheung - 1990
2 Linear prediction of ARMA processes with infinite variance (context) - Cline, Brockwell - 1985
2 Some mixing conditions for stationary symmetric stable stoch.. (context) - Gross - 1994
2 Linear prediction of ARMA processes with infinite variance (context) - Cline - 1985
2 Do gold market returns have long memory (context) - Cheung, Lai - 1993
2 On limiting distributions of nonlinear functions of noisy Ga.. (context) - Ho - 1992
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