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Shapes of synaptic protein distributions distinguish brain architectures
Rehn M +4 more
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Heavy-Tailed Distributions and Their Properties
SpringerBriefs in Earth Sciences, 2013We define the heavy-tailed distribution as distribution with infinite mathematical expectation. For such distributions the standard statistical tools—sample mean and sample standard deviation—exhibit a high instability. Some examples illustrating this conclusion are presented.
Rodkin M V, Pisarenko V F, M V Rodkin
exaly +2 more sources
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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Latest developments on heavy-tailed distributions
Journal of Econometrics, 2013The recent financial and economic crises have shown the dangers of assuming that the risks are nearly Gaussian distributed. The recent financial and economic crises have shown the dangers of assuming that the risks are nearly Gaussian distributed. In particular, non-causal representations are not identified in the case of Gaussian AR processes.
Paolella, Marc +3 more
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Distributions with Heavy Tails in Orlicz Spaces
Journal of Theoretical Probability, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Konstantinides, Dimitrios G. +1 more
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Inverse Laplace transform for heavy-tailed distributions
Applied Mathematics and Computation, 2004Here the Laplace transform inversion on the real line of heavy-tailed (probability) density functions is considered. The method assumes as known a finite set of fractional moments drawn from real values of the Laplace transform by fractional calculus.
Tagliani, Aldo, Y. VELAZQUEZ
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Appendix: A primer on heavy-tailed distributions
Queueing Systems, 1999From the footnote: This appendix is to serve as an introduction to the basics of heavy-tailed distributions from the point of view of a queueing theorist. It is not meant to be an introduction to queues nor is it meant to serve as a detailed source of references on either heavy-tailed distributions or queueing results.
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