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Geometrical understanding of the Cauchy distribution [PDF]
Qüestiió: quaderns d'estadística i investigació operativa, 2002 Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation
Cuadras, C. M. (Carlos María)
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Ratios and Cauchy Distribution
, 2016 It is well known that the ratio of two independent standard Gaussian random variables follows a Cauchy distribution. Any convex combination of independent standard Cauchy random variables also follows a Cauchy distribution. In a recent joint work, the author proved a surprising multivariate generalization of the above facts. Fix $m > 1$ and let $ $
Natesh S. Pillai
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On the ubiquity of the Cauchy distribution in spectral problems [PDF]
Probability Theory and Related Fields, 2014 We consider the distribution of the values at real points of random functions which belong to the Herglotz-Pick (HP) class of analytic mappings of the upper half plane into itself.
Aizenman, Michael, Warzel, Simone
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Kumaraswamy-Half-Cauchy Distribution: Characterizations and Related Results [PDF]
, 2015 We present various characterizations of a recently introduced distribution (Ghosh 2014), called Kumaraswamy- Half- Cauchy distribution based on: (i) a simple relation between two truncated moments; (ii) truncated moment of certain function of the 1st ...
Ghosh, I., Hamedani, Gholamhossein
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THE GAMMA HALF-CAUCHY DISTRIBUTION: PROPERTIES AND APPLICATIONS
, 2015 A new distribution, namely, the Gamma-Half-Cauchy distribution is Gamma-Half-Cauchy distribution proposed. Various properties of the are studied in detail such as limiting behavior, moments, mean devi- ations and Shannon entropy. The model parameters are
Ayman Alzaatreh +4 more
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Cauchy–Logistic Unit Distribution: Properties and Application in Modeling Data Extremes
MathematicsThis manuscript deals with a novel two-parameter stochastic distribution, obtained by transforming the Cauchy distribution, using generalized logistic mapping, into a unit interval.
Vladica S. Stojanović +4 more
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Applied SciencesEntropy-based thresholding is a widely used technique for medical image segmentation. Its principle is to determine the optimal threshold by maximizing or minimizing the image’s entropy, dividing the image into different regions or categories.
Xianwen Wang +4 more
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Cauchy stress in mass distributions
, 2001 The thermodynamic definition of pressure P = dU/dV is one form of the principle that in a given state, the mass in V and potential are proportional. Subject of this communication is the significance of this principle for the understanding of Cauchy stress.
Falk H. Koenemann
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Test of fit for Cauchy distribution based on the empirical likelihood ratio with application to the stock market price [PDF]
Journal of Mahani Mathematical Research, 2022 Recently, it has been shown that the density based empirical likelihood concept extends and standardizes these methods, presenting a powerful approach for approximating optimal parametric likelihood ratio test statistics.
Hadi Alizadeh Noughabi
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Neutrosophic Stable Random Variables [PDF]
Neutrosophic 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
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