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
doaj +5 more sources
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
doaj +6 more sources
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.
B. Ebner, Lena Eid, B. Klar
semanticscholar +8 more sources
Multi-Scale Image Defogging Network Based on Cauchy Inverse Cumulative Function Hybrid Distribution Deformation Convolution [PDF]
SensorsThe aim of this study was to address the issue of significant performance degradation in existing defogging algorithms under extreme fog conditions. Traditional Taylor series-based deformable convolutions are limited by local approximation errors, while ...
Lu Ji, Chao Chen
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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, 2021 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.
Y. Akaoka, K. Okamura, Y. Otobe
semanticscholar +3 more sources
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
openaire +2 more sources
High Efficiency Rate Control for Versatile Video Coding Based on Composite Cauchy Distribution [PDF]
IEEE transactions on circuits and systems for video technology (Print), 2020 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
semanticscholar +3 more sources
IET Renewable Power Generation, 2021 Real‐time power dispatch can coordinate wind farms, automatic generation control units and non‐automatic generation control units. In real‐time power dispatch, the probable wind power forecast errors should be appropriately formulated to ensure system ...
Shuwei Xu +4 more
doaj +2 more sources