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The Cauchy $q$-Distribution: Properties and Simulations

Theory of Probability & Its Applications
В статье представлено обобщение распределения Коши, основанное на $q$-исчислении. Изучается ряд характеристик, связанных с этим обобщением, в том числе $q$-моменты, $q$-дисперсия и кумулятивные $q$-функции. Дополнительно мы описываем технику оценивания параметра, использующую метод неподвижной точки.
Amri, Y., Boutouria, I., Bouzida, I.
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Multivariate cauchy distributions as locally gaussian distributions

Journal of Mathematical Sciences, 1996
In the present paper, we propose a definition of locally Gaussian probability distributions of random vectors based on the linearization of their conditional quantiles. We prove that the Cauchy distribution inRn is locally Gaussian and give explicit formulas for the vectors of expectations and covariance matrices of locally Gaussian approximations.
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Generalized cauchy distribution based robust estimation

2008 IEEE International Conference on Acoustics, Speech and Signal Processing, 2008
The generalized Cauchy distribution (GCD) family has the property that its pdf has closed form for the whole family and also has algebraic tails which makes it suitable to model many impulsive processes in real life. In this paper we propose a robust M-type estimator based on the pdf of the GCD family.
Rafael E. Carrillo, Tuncer C. Aysal, Kenneth E. Barner   +2 more
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New Generalizations of Cauchy Distribution

Communications in Statistics - Theory and Methods, 2011
The generalized skew-normal distribution introduced by Balakrishnan (2002) is used to obtain new generalizations of univariate Cauchy distribution with two parameters, denoted by GC m, n (a, b) with m and n non-negative integer numbers and a, b ∈ R. For cases (m, n) = (1, 2), (m, n) = (2, 1), (m, n) = (0, 3) and (m, n) = (3, 0) explicit forms of the ...
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Cauchy Distribution

2021
Rajan Chattamvelli, Ramalingam Shanmugam
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Distributed filtering based on Cauchy-kernel-based maximum correntropy subject to randomly occurring cyber-attacks

Automatica, 2022
Derui Ding, Hongli Dong, Xiao-Jian Yi
exaly  

Ant colony optimization with Cauchy and greedy Levy mutations for multilevel COVID 19 X-ray image segmentation

Computers in Biology and Medicine, 2021
Lei Liu, Ali Asghar Heidari, Chengye Li
exaly  

A generalized cauchy method for remaining useful life prediction of wind turbine gearboxes

Mechanical Systems and Signal Processing, 2021
He Liu, Enrico Zio
exaly  

CCGPA‐MPPT: Cauchy preferential crossover‐based global pollination algorithm for MPPT in photovoltaic system

Progress in Photovoltaics: Research and Applications, 2020
Vinu S, V Anoop, Pankaj Bhambri
exaly  

Systematic design of Cauchy symmetric structures through Bayesian optimization

International Journal of Mechanical Sciences, 2022
, Zacharias Vangelatos
exaly