This comprehensive text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. Heavy tails are characteristic of …
Because of its potential to... predict the unpredictable,... extreme value theory (EVT) and methodology is currently receiving a great deal of attention from statistical and mathematical …
The analysis and modeling of computer network traffic is a daunting task considering the amount of available data. This is quite obvious when considering the spatial dimension of …
SN Shiaeles, V Katos, AS Karakos… - computers & security, 2012 - Elsevier
We propose a method for DDoS detection by constructing a fuzzy estimator on the mean packet inter arrival times. We divided the problem into two challenges, the first being the …
S Stoev, V Pipiras, MS Taqqu - Signal Processing, 2002 - Elsevier
We estimate the self-similarity parameter of linear fractional stable motion (lfsm, in short) using two types of estimators referred to as the “power” and the “log” estimators. These …
The usual concept of asymptotic independence, as discussed in the context of extreme value theory, requires the distribution of the coordinatewise sample maxima under suitable …
Extremal dependence analysis assesses the tendency of large values of components of a random vector to occur simultaneously. This kind of dependence information can be …
Simultaneously transmitting and reflecting reconfigurable intelligent surfaces (STAR-RISs) is a promising passive device that contributes to full-space coverage via transmitting and …
V Pipiras, MS Taqqu, JB Levy - Bernoulli, 2004 - projecteuclid.org
Consider M independent and identically distributed renewal-reward processes with heavy- tailed renewals and rewards that have either finite variance or heavy tails. Let W*(Ty, M) …