[图书][B] Statistics of extremes: theory and applications

J Beirlant, Y Goegebeur, J Segers, JL Teugels - 2006 - books.google.com
Research in the statistical analysis of extreme values has flourished over the past decade:
new probability models, inference and data analysis techniques have been introduced; and …

[图书][B] Heavy-tail phenomena: probabilistic and statistical modeling

SI Resnick - 2007 - books.google.com
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 …

[图书][B] Extreme values in finance, telecommunications, and the environment

B Finkenstadt, H Rootzén - 2003 - books.google.com
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 …

Long-range dependence and heavy-tail modeling for teletraffic data

O Cappé, E Moulines, JC Pesquet… - IEEE signal …, 2002 - ieeexplore.ieee.org
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 …

Real time DDoS detection using fuzzy estimators

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 …

Estimation of the self-similarity parameter in linear fractional stable motion

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 …

Asymptotic independence and a network traffic model

K Maulik, S Resnick, H Rootzén - Journal of Applied Probability, 2002 - cambridge.org
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 …

The extremal dependence measure and asymptotic independence

S Resnick - 2004 - Taylor & Francis
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 …

DRL enabled coverage and capacity optimization in STAR-RIS-assisted networks

X Gao, W Yi, Y Liu, J Zhang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Simultaneously transmitting and reflecting reconfigurable intelligent surfaces (STAR-RISs) is
a promising passive device that contributes to full-space coverage via transmitting and …

Slow, fast and arbitrary growth conditions for renewal-reward processes when both the renewals and the rewards are heavy-tailed

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) …