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Multivariate Scale-Mixed Stable Distributions and Related Limit Theorems

open access: yesMathematics, 2020
In the paper, multivariate probability distributions are considered that are representable as scale mixtures of multivariate stable distributions. Multivariate analogs of the Mittag–Leffler distribution are introduced.
Yury Khokhlov   +2 more
doaj   +3 more sources

Unimodality of Boolean and Monotone Stable Distributions

open access: yesDemonstratio Mathematica, 2015
We give a complete list of the Lebesgue-Jordan decomposition of Boolean and monotone stable distributions and a complete list of the mode of them. They are not always unimodal.
Hasebe Takahiro, Sakuma Noriyoshi
doaj   +3 more sources

Random Variables and Stable Distributions on Fractal Cantor Sets

open access: yesFractal and Fractional, 2019
In this paper, we introduce the concept of fractal random variables and their related distribution functions and statistical properties. Fractal calculus is a generalisation of standard calculus which includes function with fractal support.
Alireza Khalili Golmankhaneh   +1 more
doaj   +3 more sources

SAR Images Statistical Modeling and Classification Based on the Mixture of Alpha-Stable Distributions

open access: yesRemote Sensing, 2013
This paper proposes the mixture of Alpha-stable (MAS) distributions for modeling statistical property of Synthetic Aperture Radar (SAR) images in a supervised Markovian classification algorithm.
Fangling Pu   +3 more
doaj   +3 more sources

Neutrosophic Stable Random Variables [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this paper, the concept of a neutrosophic stable random variable is introduced. Two definitions of a neutrosophic random variable are presented. We introduced both the neutrosophic probability distribution function and the neutrosophic probability ...
Azzam Mustafa Nouri   +2 more
doaj   +1 more source

Educational approaches and research achievements of Alexander Khintchine in mathematics [PDF]

open access: yesریاضی و جامعه, 2023
The role of Alexander Yakovlevich Khintchine in mathematics and especially in probability theory is undeniable. His approaches to teaching mathematics, especially in the secondary school, are still a perfect model for mathematics teachers.
Ramin Kazemi
doaj   +1 more source

Dynamic Correlations and Disorder in the Masticatory Musculature Network

open access: yesLife, 2023
Background: Temporomandibular joint (TMJ) disorders, which affect millions of people worldwide, have multiple etiological factors that make an accurate diagnosis and effective treatments difficult.
Gaetano Campi   +6 more
doaj   +1 more source

Baseline Methods for the Parameter Estimation of the Generalized Pareto Distribution

open access: yesEntropy, 2022
In the parameter estimation of limit extreme value distributions, most employed methods only use some of the available data. Using the peaks-over-threshold method for Generalized Pareto Distribution (GPD), only the observations above a certain threshold ...
Jacinto Martín   +3 more
doaj   +1 more source

Simple Formulas for Pricing and Hedging European Options in the Finite Moment Log-Stable Model

open access: yesRisks, 2019
We provide ready-to-use formulas for European options prices, risk sensitivities, and P&L calculations under Lévy-stable models with maximal negative asymmetry. Particular cases, efficiency testing, and some qualitative features of the model are
Jean-Philippe Aguilar, Jan Korbel
doaj   +1 more source

On a Multivariate Analog of the Zolotarev Problem

open access: yesMathematics, 2021
A generalized multivariate problem due to V. M. Zolotarev is considered. Some related results on geometric random sums and (multivariate) geometric stable distributions are extended to a more general case of “anisotropic” random summation where sums of ...
Yury Khokhlov, Victor Korolev
doaj   +1 more source

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