Some concepts of bivariate symmetry

DOI10.1080/10485259308832574zbMath1380.62227OpenAlexW1985898731MaRDI QIDQ3432370

Roger B. Nelsen

Publication date: 16 April 2007

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259308832574

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characterization and structure theory of statistical distributions (62E10) Nonparametric inference (62G99)

Related Items (29)

Unnamed Item ⋮ Linear projections of joint symmetry and independence applied to exact testing treatment effects based on multidimensional outcomes ⋮ Symmetry and dependence properties within a semiparametric family of bivariate copulas ⋮ Nonparametric Identification of Copula Structures ⋮ Some count-based nonparametric tests for circular symmetry of a bivariate distribution ⋮ A count-based nonparametric test on strict bivariate Stochastic arrangement increasing property ⋮ Maximal non-exchangeability in dimension \(d\) ⋮ Best-possible bounds on the set of copulas with a given value of Spearman's footrule ⋮ Testing symmetry for bivariate copulas using Bernstein polynomials ⋮ Estimating the parameters of a dependent model and applying it to environmental data set ⋮ Test of symmetry based on copula function ⋮ Measures of radial asymmetry for bivariate random vectors ⋮ Bivariate copulas with cubic sections ⋮ Testing symmetry of an unknown density function by kernel method ⋮ A simple nonparametric test for bivariate symmetry about a line ⋮ Estimation of a bivariate symmetric distribution function. ⋮ Multivariate radial symmetry of copula functions: finite sample comparison in the i.i.d case ⋮ Bivariate copulas with quadratic sections ⋮ A visual proof for the sum of the first \(n\) triangular numbers ⋮ Multivariate versions of Blomqvist's beta and Spearman's footrule ⋮ On the construction of radially symmetric copulas in higher dimensions ⋮ A new extension of bivariate FGM copulas ⋮ Unnamed Item ⋮ OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS ⋮ Linear B-spline copulas with applications to nonparametric estimation of copulas ⋮ RANDOMIZATION TESTS OF COPULA SYMMETRY ⋮ Absolutely continuous copulas with prescribed support constructed by differential equations, with an application in toxicology ⋮ Quantile Methods for Stochastic Frontier Analysis ⋮ The integrated copula spectrum

Cites Work

• Unnamed Item
• Characterization of a Marshall-Olkin type class of distributions
• Bivariate symmetry: definitions and basic properties
• Some General Results about Uncorrelated Statistics
• Certain Uncorrelated Nonparametric Test Statistics
• A nonparametric test for bivariate symmetry

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