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Confidence disc and square for Cauchy distributions

open access: greenUkrains’kyi Matematychnyi Zhurnal, 2023
UDC 519.21 We  construct a confidence region of parameters for a sample of size N from the Cauchy distributed random variables. Although Cauchy distribution has two parameters, a location parameter μ ∈ ℝ and a scale parameter σ > 0 , we infer them simultaneously by regarding them as a single complex parameter γ : = μ
Akaoka, Yuichi   +2 more
openaire   +4 more sources

Improved optimization of numerical association rule mining using hybrid particle swarm optimization and cauchy distribution

open access: goldInternational Journal of Electrical and Computer Engineering (IJECE), 2019
Particle Swarm Optimization (PSO) has been applied to solve optimization problems in various fields, such as Association Rule Mining (ARM) of numerical problems. However, PSO often becomes trapped in local optima.
Imam Tahyudin, Hidetaka Nambo
semanticscholar   +3 more sources

Ratios and Cauchy Distribution

open access: green, 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
openaire   +4 more sources

The gamma half-Cauchy distribution: Properties and applications

open access: green, 2016
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
semanticscholar   +2 more sources

A method for generating distributions with an application to Cauchy distribution

open access: diamondResearch in Statistics
There 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.
doaj   +2 more sources

Cauchy–Logistic Unit Distribution: Properties and Application in Modeling Data Extremes

open access: goldMathematics
This 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
doaj   +2 more sources

Optimum Multilevel Thresholding for Medical Brain Images Based on Tsallis Entropy, Incorporating Bayesian Estimation and the Cauchy Distribution

open access: goldApplied Sciences
Entropy-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
doaj   +2 more sources

Test of fit for Cauchy distribution based on the empirical likelihood ratio with application to the stock market price [PDF]

open access: yesJournal 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
doaj   +1 more source

Neutrosophic Stable Random Variables [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

Characterizations of the Maximum Likelihood Estimator of the Cauchy Distribution [PDF]

open access: yesLobachevskii Journal of Mathematics, 2021
This paper gives a new approach for the maximum likelihood estimation of the joint of the location and scale of the Cauchy distribution. We regard the joint as a single complex parameter and derive a new form of the likelihood equation of a complex ...
K. Okamura, Y. Otobe
semanticscholar   +1 more source

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