SUMMARY Telecommunications systems have recently undergone significant innovations. These call for suitable statistical models that can properly describe the behaviour of the input traffic in a network. Here we use fractional Brownian motion (FBM) to model cumulative traffic network, thus taking into account the possible presence of long-range dependence in the data. A Bayesian approach is devised in such a way that we are able to: (a) estimate the Hurst parameter H of the FBM; (b) estimate the overflow probability which is a parameter measuring the quality of service of a network: (c) develop a test for comparing the null hypothesis of long-range dependence in the data versus the alternative of short-range dependence. In order to achieve t...
Abstract—Fractional Brownian motion (fBm) became known as a useful model for Internet traffic incorp...
Since the beginning of the 1990s, accurate traffic measurements carried out in different network sce...
This paper presents the results of fitting stochastic model into real network traffic. Accurate mode...
Telecommunications systems have recently undergone significant innovations. These call for suitable ...
Telecommunications systems have recently undergone significant innovations. These call for suitable ...
In this paper a statistical analysis of real ATM traffic is considered to validate the presence of l...
Cumulative broadband network traffic is often thought to be well modeled by fractional Brownian moti...
ABSTRACT In this paper, we demonstrate that traffic modeling with the fractional Brownian motion (FB...
The particular statistical properties found in network measurements, namely self-similarity and long...
This is the author's version of the work. It is posted here for your personal use. Not for redistrib...
A possible model for communication traffic is that the amount of work arriving in successive time in...
Cumulative broadband network traffic is often thought to be well modeled by fractional Brownian moti...
Bellcore studies have shown that Fractional Brownian Motion (FBM) is a convenient and compact mathem...
[[abstract]]Long-range dependence has been recently asserted to be an important characteristic in mo...
Abstract- The intensity of long-range dependence (LRD) of the communications network traffic can be ...
Abstract—Fractional Brownian motion (fBm) became known as a useful model for Internet traffic incorp...
Since the beginning of the 1990s, accurate traffic measurements carried out in different network sce...
This paper presents the results of fitting stochastic model into real network traffic. Accurate mode...
Telecommunications systems have recently undergone significant innovations. These call for suitable ...
Telecommunications systems have recently undergone significant innovations. These call for suitable ...
In this paper a statistical analysis of real ATM traffic is considered to validate the presence of l...
Cumulative broadband network traffic is often thought to be well modeled by fractional Brownian moti...
ABSTRACT In this paper, we demonstrate that traffic modeling with the fractional Brownian motion (FB...
The particular statistical properties found in network measurements, namely self-similarity and long...
This is the author's version of the work. It is posted here for your personal use. Not for redistrib...
A possible model for communication traffic is that the amount of work arriving in successive time in...
Cumulative broadband network traffic is often thought to be well modeled by fractional Brownian moti...
Bellcore studies have shown that Fractional Brownian Motion (FBM) is a convenient and compact mathem...
[[abstract]]Long-range dependence has been recently asserted to be an important characteristic in mo...
Abstract- The intensity of long-range dependence (LRD) of the communications network traffic can be ...
Abstract—Fractional Brownian motion (fBm) became known as a useful model for Internet traffic incorp...
Since the beginning of the 1990s, accurate traffic measurements carried out in different network sce...
This paper presents the results of fitting stochastic model into real network traffic. Accurate mode...