Results 11 to 20 of about 6,038,394 (251)

Stable laws and Beurling kernels [PDF]

open access: yesAdvances in Applied Probability, 2016
We identify a close relation between stable distributions and the limiting homomorphisms central to the theory of regular variation. In so doing some simplifications are achieved in the direct analysis of these laws in Pitman and Pitman [PitP]; stable ...
Ostaszewski, Adam
core   +3 more sources

Classical scale mixtures of Boolean stable laws [PDF]

open access: yes, 2016
We study Boolean stable laws, b(alpha,rho), with stability index b(alpha,rho) and asymmetry parameter rho. We show that the classical scale mixture of b(alpha,rho) coincides with a free mixture and also a monotone mixture of b(alpha,rho).
Hasebe, Takahiro, Arizmendi, Octavio
core   +3 more sources

Classical and free infinite divisibility for Boolean stable laws [PDF]

open access: yes, 2014
We completely determine the free infinite divisibility for the Boolean stable law which is parametrized by a stability index alpha and an asymmetry coefficient rho. We prove that the Boolean stable law is freely infinitely divisible if and only if one of
Hasebe, Takahiro, Arizmendi, Octavio
core   +3 more sources

Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics [PDF]

open access: yesNature Energy, 2018
Multiple types of fluctuations impact the collective dynamics of power grids and thus challenge their robust operation. Fluctuations result from processes as different as dynamically changing demands, energy trading and an increasing share of renewable ...
B. Schäfer   +4 more
semanticscholar   +1 more source

The Calculation of the Density and Distribution Functions of Strictly Stable Laws

open access: yesMathematics, 2020
Integral representations for the probability density and distribution function of a strictly stable law with the characteristic function in the Zolotarev’s “C” parametrization were obtained in the paper.
V. Saenko
semanticscholar   +1 more source

The fractional Fisher information and the central limit theorem for stable laws [PDF]

open access: yesarXiv.org, 2015
A new information-theoretic approach to the central limit theorem for stable laws is presented. The main novelty is the concept of relative fractional Fisher information, which shares most of the properties of the classical one, included Blachman-Stam ...
G. Toscani
semanticscholar   +1 more source

Stable laws and cosmic ray physics [PDF]

open access: yes, 2016
In the new precision era for cosmic ray astrophysics, theoretical predictions cannot content themselves with average trends, but need to correctly take into account intrinsic uncertainties.
Y. Génolini   +3 more
semanticscholar   +1 more source

Mechanisms, Laws, and Regularities [PDF]

open access: yes, 2011
Leuridan argued that mechanisms cannot provide a genuine alternative to laws of nature as a model of explanation in the sciences, and he advocates Mitchell’s pragmatic account of laws.
Andersen, Holly   +2 more
core   +1 more source

Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks.

open access: yesPhysical Review Letters, 2019
We study first passage behaviors in the flow through three-dimensional random fracture networks. Network and flow heterogeneity lead to the emergence of heavy-tailed first passage time distributions that evolve with increasing distance between the start ...
J. Hyman, M. Dentz, A. Hagberg, P. Kang
semanticscholar   +1 more source

Conditional independence among max-stable laws [PDF]

open access: yes, 2015
Let X be a max-stable random vector with positive continuous density. It is proved that the conditional independence of any collection of disjoint subvectors of X given the remaining components implies their joint independence.
Ioannis Papastathopoulos, K. Strokorb
semanticscholar   +1 more source

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