Results 281 to 290 of about 5,933,118 (327)
Some of the next articles are maybe not open access.
Sprays and Cauchy's Distribution
Mathematics Magazine, 1960Thus exactly the same distribution results as if the particles had been projected from a point source at the origin. This has an application in spraying. Consider two sprays of the common revolving nozzle type, mounted so that the centres of revolution may be considered coincident, with the nozzles revolving in opposite directions and emitting thin ...
openaire +2 more sources
SOME CHARACTERIZATIONS OF THE CAUCHY DISTRIBUTION
Australian Journal of Statistics, 1979SummaryIf X and Y are independent standard Cauchy random variables then (i) Y and (X+Y)/(1‐Xu) are independent, (ii) X and (X + Y)/(1 ‐XU) are identically distributed, and (iii) X and 2X/(1‐X2) are identically distributed. Each of these three properties is shown to characterize the Cauchy distribution among absolutely continuous distributions.
openaire +2 more sources
Centered distributions with cauchy conditionals
Communications in Statistics - Theory and Methods, 1991We introduce a bivariate distribution with Cauchy conditionals that is centered at the origin. The construction is patterned after the functional equation methods employed by Castillo and Galambos(1987), Arnold(1987), Castillo and Galambos(1989), and Arnold and Strauss( 1988a) in the development of various bivariate densities with conditionally ...
Barry C. Arnold, Dale N. Anderson
openaire +2 more sources
On a Generalization of Bivariate Cauchy Distribution
Communications in Statistics - Theory and Methods, 2008This paper addresses a generalization of the bivariate Cauchy distribution discussed by Fang et al. (1990), derived from a trivariate normal distribution with a general correlation matrix. We obtain explicit expressions for the joint distribution function and joint density function, and show that they reduce in a special case to the corresponding ...
Ahad Jamalizadeh +1 more
openaire +2 more sources
Matrix variate Cauchy distribution
Statistics, 2003In this article we introduce the matrix variate Cauchy distribution. Its density function has been derived using independent random matrices having dependent normal entries. Some properties of this distribution are also studied.
Daya K. Nagar, Rajesh R. Bandekar
openaire +2 more sources
Goodness-of-fit tests for the Cauchy distribution
Computational Statistics, 2001The Cauchy family of distributions is defined by the pdf \[ f(x)=[\pi\psi(1+(x-\lambda)\psi^{-1})]^{-2}, \] where \(\lambda\) and \(\psi\) are the location and scale parameters. The authors consider different estimators for \(\psi\) and \(\lambda\) (including an iterative MLE algorithm) and five goodness-of-fit tests for this family: Kolmogorov, Kuiper,
Vincent C. Yen +3 more
openaire +3 more sources
Tangential Cauchy-Riemann complexes on distributions
Annali di Matematica Pura ed Applicata, 1986The results of this paper are quite interesting. It is a continuation of the paper of the first author [Math. Ann. 268, 449-471 (1984; Zbl 0574.32045)], where the same problems are considered in the case of \(C^{\infty}\) category. The paper is organized in seven sections as follows: Let X be a smooth \((C^{\infty})\) differentiable manifold and E be a
Giorgio Valli, Mauro Nacinovich
openaire +3 more sources
New Generalizations of Cauchy Distribution
Communications in Statistics - Theory and Methods, 2011The generalized skew-normal distribution introduced by Balakrishnan (2002) is used to obtain new generalizations of univariate Cauchy distribution with two parameters, denoted by GC m, n (a, b) with m and n non-negative integer numbers and a, b ∈ R. For cases (m, n) = (1, 2), (m, n) = (2, 1), (m, n) = (0, 3) and (m, n) = (3, 0) explicit forms of the ...
openaire +2 more sources
On the distribution of the Cauchy maximum-likelihood estimator
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1993The two-parameter Cauchy maximum-likelihood estimator T ( y ) = ( T 1 ( y ), T 2 ( y )) is known to be unique for samples of size n ≽ 3 (J. Copas,
openaire +3 more sources