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The Cauchy Distribution in Information Theory [PDF]
Entropy, 2023 The Gaussian law reigns supreme in the information theory of analog random variables. This paper showcases a number of information theoretic results which find elegant counterparts for Cauchy distributions.
Sergio Verdú
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An alternative to the Cauchy distribution [PDF]
MethodsX, 2019 A few generalizations of the Cauchy distribution appear in the literature. In this paper, a new generalization of the Cauchy distribution is proposed, namely, the exponentiated-exponential Cauchy distribution (EECD).
Ayman Alzaatreh
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Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution [PDF]
Statistical Papers, 2021 We introduce a new characterization of the Cauchy distribution and propose a class of goodness-of-fit tests for the Cauchy family. The limit distribution is derived in a Hilbert space framework under the null hypothesis.
Bruno Ebner, Lena Eid, Bernhard Klar
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A method for generating distributions with an application to Cauchy distribution
Research in StatisticsThere are numerous transformation methods which are in use right now. In this article, the newly proposed model is achieved by using the transformation method known as beta transformation where it does not require more than one additional parameters to ...
Fasna K.
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Pressure Vessel Design Problem Using Improved Gray Wolf Optimizer Based on Cauchy Distribution
Applied Sciences, 2023 The Gray Wolf Optimizer (GWO) is an established algorithm for addressing complex optimization tasks. Despite its effectiveness, enhancing its precision and circumventing premature convergence is crucial to extending its scope of application.
Jun Li, Kexue Sun
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High Efficiency Rate Control for Versatile Video Coding Based on Composite Cauchy Distribution [PDF]
IEEE transactions on circuits and systems for video technology (Print), 2021 In this work, we propose a novel rate control algorithm for Versatile Video Coding (VVC) standard based on its distinct rate-distortion characteristics.
Yunhao Mao +3 more
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A Novel Goodness-of-Fit Test for Cauchy Distribution
Journal of Mathematics, 2023 Recently, several goodness-of-fit tests for Cauchy distribution have been introduced based on Kullback–Leibler divergence and likelihood ratio. It is claimed that these tests are more powerful than the well-known goodness-of-fit tests such as Kolmogorov ...
A. Pekgör
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Bahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution [PDF]
Annals of the Institute of Statistical Mathematics, 2022 Some quasi-arithmetic means of random variables easily give unbiased strongly consistent closed-form estimators of the joint of the location and scale parameters of the Cauchy distribution.
Yuichi Akaoka +2 more
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The Cauchy Functional Equations in Distributions [PDF]
Proceedings of the American Mathematical Society, 1989 The Pompeiu functional equation is defined by Neagu for Schwartz distributions. His method is extended to the four Cauchy functional equations by means of two new operators Q ∗ {Q^*} and R ∗ {R^*} on D
Eunbin Koh
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The Beta-Half-Cauchy Distribution [PDF]
Journal of Probability and Statistics, 2011 On the basis of the half-Cauchy distribution, we propose the called beta-half-Cauchy distribution for modeling lifetime data. Various explicit expressions for its moments, generating and quantile functions, mean deviations, and density function of the ...
Gauss M. Cordeiro, Artur J. Lemonte
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