In recent years, there has been great interest in the simulation of long-range dependent processes, in particular fractional Brownian motion. Motivated by applications in …
J Cao, WS Cleveland, D Lin, DX Sun - Nonlinear estimation and …, 2003 - Springer
Network devices put packets on an Internet link, and multiplex, or superpose, the packets from different active connections. Extensive empirical and theoretical studies of packet traffic …
A Weron, R Weron - Wydawnictwo Naukowo-Techniczne …, 1998 - researchgate.net
Ksi ka czy og ln wiedz o rynkach papier w warto ciowych z nowoczesnym wyk adem matematyki finansowej, kt ry obejmuje modele i metody dotycz ce wyceny instrument w …
MD Ortigueira - IEEE Circuits and Systems Magazine, 2008 - ieeexplore.ieee.org
A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the …
This paper develops a class of consistent estimators of the parameters of a fractional Brownian motion based on the asymptotic behavior of the k-th absolute moment of discrete …
We survey the properties and uses of the class of subexponential probability distributions, paying particular attention to their use in modelling heavy-tailed data such as occurs in …
Z Zhan, M Xu, S Xu - IEEE Transactions on Information …, 2013 - ieeexplore.ieee.org
Rigorously characterizing the statistical properties of cyber attacks is an important problem. In this paper, we propose the first statistical framework for rigorously analyzing honeypot …
Recently the notion of self-similarity has been shown to apply to wide-area and local-area network traffic. In this paper we examine the mechanisms that give rise to self-similar …
A Montanari, R Rosso, MS Taqqu - Water Resources Research, 2000 - Wiley Online Library
A seasonal fractional autoregressive integrated moving average (ARIMA) model is introduced, with both short‐and long‐term persistent periodic components. The estimation of …