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Cauchy-Distributed Functions of Cauchy Variates [PDF]
The Annals of Mathematical Statistics, 1967 A certain class of functions of Cauchy variates whose members are also Cauchy variates is described. Some independence properties of Cauchy variates are also discussed.
Pitman, E. J. G., Williams, E. J.
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The Truncated Cauchy Power Family of Distributions with Inference and Applications
Entropy, 2020 As a matter of fact, the statistical literature lacks of general family of distributions based on the truncated Cauchy distribution. In this paper, such a family is proposed, called the truncated Cauchy power-G family.
Maha A. Aldahlan +4 more
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Cognitive Computation and Systems, 2023 Although Dynamic Movement Primitives (DMP) is an effective tool for robotic arm trajectory generalisation, the application of DMP in the 3C (Computer, Communication, Consumer Electronics) industry still faces challenges such as low precision and high ...
Meng Liu +5 more
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A New Generalized Cauchy Distribution with an Application to Annual One Day Maximum Rainfall Data
, 2021 In this article, we introduce a new three-parameter transmuted Cauchy distribution using the quadratic rank transmutation map approach. Some mathematical properties of the proposed model are discussed.
Cory Ball, Binod Rimal, Sher B. Chhetri
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On f-divergences Between Cauchy Distributions [PDF]
IEEE Transactions on Information Theory, 2021 We prove that the $f$-divergences between univariate Cauchy distributions are all symmetric, and can be expressed as strictly increasing scalar functions of the symmetric chi-squared divergence. We report the corresponding scalar functions for the total variation distance, the Kullback-Leibler divergence, the squared Hellinger divergence, and the ...
Frank Nielsen, Kazuki Okamura
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Estimation of the Scale Parameter of Cauchy Distribution Using Absolved Order Statistics
Statistica, 2023 A new set of ordered random variables generated from a sample from a scale dependent Cauchy distribution known as Absolved Order Statistics (AOS) of the sample forms the problem of investigation in this paper.
Poruthiyudian Yageen Thomas +2 more
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Characterizations of the Cauchy distribution associated with integral transforms [PDF]
, 2020 We give two new simple characterizations of the Cauchy distribution by using the Mobius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution and the mixture Cauchy model.
K. Okamura
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Cauchy Dağılım ile Güçlendirilmiş Salp Sürü Algoritması
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2023 Salp Sürü Algoritması (SSA) son dönem sürü zekâsı algoritmalarından olup, basit yapılıdır ve kullanımı oranı artan bir algoritmadır. Kullanım oranındaki artışın en önemli sebebi, bu algoritmanın problem çözmede gösterdiği başarıdır.
Gurcan Yavuz
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Beta-Cauchy Distribution: Some Properties and Applications [PDF]
Journal of Statistical Theory and Applications (JSTA), 2013 Some properties of the four-parameter beta-Cauchy distribution such as the mean deviation and Shannon’s entropy are obtained. The method of maximum likelihood is proposed to estimate the parameters of the distribution.
Etaf Alshawarbeh, Felix Famoye, Carl Lee
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Estimators for the Cauchy Distribution [PDF]
, 1996 We discuss the properties of various estimators of the central position of the Cauchy distribution. The performance of these estimators is evaluated for a set of simulated experiments. Estimators based on the maximum and mean of the posterior probability density function are empirically found to be well behaved when more than two measurements are ...
Hanson, K. M., Wolf, D. R.
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