Results 41 to 50 of about 5,933,118 (327)
A Representation of the Symmetric Bivariate Cauchy Distribution [PDF]
The Annals of Mathematical Statistics, 1962 Thomas S. Ferguson
openaire +5 more sources
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
doaj +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
A Clarification of the Cauchy Distribution [PDF]
Communications for Statistical Applications and Methods, 2014 Abstract WedefineamultivariateCauchydistributionusingaprobabilitydensityfunction; subsequently, aFerguson’sdefinition of a multivariate Cauchy distribution can be viewed as a characterization theorem using the character-istic function approach. To clarify this characterization theorem, we construct two dependent Cauchy randomvariables, but their sum is ...
Hwi-Young Lee +2 more
openaire +2 more sources
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
doaj +1 more source
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.
openaire +2 more sources
On an Absolute Autoregressive Model and Skew Symmetric Distributions
Statistica, 2020 By exploiting the connection between a popular construction of a well-known skew-normal distribution and an absolute autoregressive process, we show how the stochastic process approach can lead to other skew symmetric distributions, including a skew ...
Dong Li, Howell Tong
doaj +1 more source
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
openaire +2 more sources