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QUESTA
2007
117views more  QUESTA 2007»
13 years 4 months ago
Estimating tail probabilities of heavy tailed distributions with asymptotically zero relative error
Efficient estimation of tail probabilities involving heavy tailed random variables is amongst the most challenging problems in Monte-Carlo simulation. In the last few years, appli...
Sandeep Juneja
TOMACS
2002
113views more  TOMACS 2002»
13 years 4 months ago
Simulating heavy tailed processes using delayed hazard rate twisting
Consider the problem of estimating the small probability that the maximum of a random walk exceeds a large threshold, when the process has a negative drift and the underlying rand...
Sandeep Juneja, Perwez Shahabuddin
WSC
2008
13 years 6 months ago
Efficient simulation for tail probabilities of Gaussian random fields
We are interested in computing tail probabilities for the maxima of Gaussian random fields. In this paper, we discuss two special cases: random fields defined over a finite number...
Robert J. Adler, Jose Blanchet, Jingchen Liu
CSDA
2006
92views more  CSDA 2006»
13 years 4 months ago
Robust measures of tail weight
The kurtosis coefficient is often regarded as a measure of the tail heaviness of a distribution relative to that of the normal distribution. However, it also measures the peakedne...
Guy Brys, Mia Hubert, Anja Struyf
SIGMETRICS
2009
ACM
140views Hardware» more  SIGMETRICS 2009»
13 years 11 months ago
Maximum likelihood estimation of the flow size distribution tail index from sampled packet data
In the context of network traffic analysis, we address the problem of estimating the tail index of flow (or more generally of any group) size distribution from the observation of...
Patrick Loiseau, Paulo Gonçalves, Sté...