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Second-order heavy-tailed distributions and tail analysis
IEEE Transactions on Signal Processing, 2006This correspondence studies the second-order distributions of heavy-tail distributed random variables (RVs). Two models for the heavy-tailed distributions are considered: power law and epsi-contaminated distributions. Special cases of the models considered include 1) RVs formed by the product of two independent, but not necessarily identically ...
Tuncer C. Aysal, Kenneth E. Barner
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Communications of the ACM, 2010
A better understanding of heavy-tailed probability distributions can improve activities from Internet commerce to the design of server farms.
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A better understanding of heavy-tailed probability distributions can improve activities from Internet commerce to the design of server farms.
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On the tail index of a heavy tailed distribution
Annals of the Institute of Statistical Mathematics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Heavy-Tailed and Long-Tailed Distributions
2011In this chapter we are interested in (right-) tail properties of distributions, i.e. in properties of a distribution which, for any x, depend only on the restriction of the distribution to (x, ∞). More generally it is helpful to consider tail properties of functions.
Sergey Foss +2 more
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Queue Management for the Heavy-Tailed Traffics
2010 International Conference on Broadband, Wireless Computing, Communication and Applications, 2010The purpose of this research is to design the new queueing algorithm effectively controlling the heavy-tailed traffics based on the comparison between the performance of the passive queue algorithm and that of the active queue algorithm. We adopted the tail-drop algorithm for PQM and the Random Early Detection (RED) for AQM, and conducted the ...
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2021
In Sec. 2.3.3 we introduced the idea of heavy-tailed distributions from a purely mathematical point of view, where we considered probability distributions for which the central limit theorem does not apply. The terminology arises because the “tails” of the distribution, that is the parts where the variable |x| → ∞, decrease so slowly that in most cases
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In Sec. 2.3.3 we introduced the idea of heavy-tailed distributions from a purely mathematical point of view, where we considered probability distributions for which the central limit theorem does not apply. The terminology arises because the “tails” of the distribution, that is the parts where the variable |x| → ∞, decrease so slowly that in most cases
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Taylor’s law and heavy-tailed distributions
Proceedings of the National Academy of Sciences, 2021Lindquist, W. Brent +1 more
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Heavy and super-heavy tail analysis
2012In this chapter we summarize results in extreme value theory, which are primarily based on the condition that the upper tail of the underlying df is in the δ-neighborhood of a generalized Pareto distribution (GPD). This condition, which looks a bit restrictive at first sight (see Section 2.2), is however essentially equivalent to the condition that ...
Fraga Alves, Isabel +2 more
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