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On the Convergence of MMPP and Fractional ARIMA Processes with  (Make Corrections)  
Long-Range Dependence to Fractional Brownian Motion Biplab Sikdar and Kenneth ...



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Abstract: Though the various models proposed in the literature for capturing the long-range dependent nature of network traffic are all either exactly or asymptotically second order self-similar, their effect on network performance can be very different. We are thus motivated to characterize the limiting distributions of these models so that they lead to parsimonious modeling and a better understanding of network traffic. In this paper we consider longrange dependent arrival processes based on Markovian... (Update)

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BibTeX entry:   (Update)

@misc{ to-convergence,
  author = "Long-Range Dependence To",
  title = "On the Convergence of MMPP and Fractional ARIMA Processes with",
  url = "citeseer.ist.psu.edu/765571.html" }
Citations (may not include all citations):
602   Convergence of probability measures (context) - Billingsley - 1968
371   Time series analysis: Forecasting and control (context) - Box, Jenkins - 1976
320   the self-similar nature of Ethernet traffic (Extended Versio.. (context) - Leland, Taqqu et al. - 1994
220   A storage model with self-similar input - Norros - 1994
117   Chapman and Hall (context) - Cox, Isham et al. - 1980
104   Wavelet analysis of long range dependent traffic - Abry, Veitch - 1998
94   Fractional differencing (context) - Hosking - 1981
76   Proof of a fundamental result in self-similar traffic modeli.. - Taqqu, Willinger et al. - 1997
40   Using renewal processes to generate long-range dependence an.. (context) - Taqqu, Levy - 1986
39   An application of deterministic chaotic maps to model packet.. (context) - Erramilli, Singh et al. - 1995
26   The Markovmodulated Poisson process (MMPP) cookbook (context) - Fischer, Meier-Hellstern - 1993
24   Stable nonGaussian processes: Stochastic models with infinit.. (context) - Samorodnitsky, Taqqu - 1994
19   A Markovian approach for modeling packet traffic with long-r.. (context) - Andersen, Nielsen - 1998
3   Weak convergence of high-speed network traffic models - Resnick, van den Berg - 1999
2   Buffer overflow probabilities with self-similar traffic (context) - Parulekar, Makowski - 1995

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