On nonparametric tests for symmetry in \(R^ m\)

DOI10.1007/BF00774788zbMath0802.62049MaRDI QIDQ1335381

Sigeo Aki

Publication date: 12 December 1994

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

goodness-of-fit testsempirical distributiondensity estimatorlimit processestesting symmetryapproximate Bahadur efficiencymultiparameter Wiener processes

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (9)

Some hypothesis tests based on random projection ⋮ Some count-based nonparametric tests for circular symmetry of a bivariate distribution ⋮ More good news on the HKM test for multivariate reflected symmetry about an unknown centre ⋮ Testing for central symmetry ⋮ Measures of radial asymmetry for bivariate random vectors ⋮ A statistic for testing the null hypothesis of elliptical symmetry ⋮ On the construction of radially symmetric copulas in higher dimensions ⋮ Testing of spherical symmetry of a multivariate distribution. ⋮ Permutation tests for reflected symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some limit theorems for empirical processes (with discussion)
• Asymptotic properties of some goodness-of-fit tests based on the \(L_ 1\)-norm
• Conditions d'intégrabilité pour les multiplicateurs dans le TLC banachique. (Integrability conditions for multiplicators in the central limit theorem in Banach spaces)
• On nonparametric tests for symmetry
• An innovation approach to goodness-of-fit tests in \(R^ m\)
• On the limiting distribution of and critical values for the multivariate Cramer-von Mises statistic
• Approximation of stochastic integrals with applications to goodness-of- fit tests
• A condition under which the Pitman and Bahadur approaches to efficiency coincide
• Testing for Symmetry
• Concerning a Certain Probability Problem
• Computation of Distribution Functions of Quadratic Forms of Normally Distributed Random Variables
• A Cramer Von-Mises Type Statistic for Testing Symmetry
• Computing the distribution of quadratic forms in normal variables
• Distribution Free Tests of Independence Based on the Sample Distribution Function
• Stochastic Comparison of Tests
• A Test for Symmetry Using the Sample Distribution Function
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

This page was built for publication: On nonparametric tests for symmetry in \(R^ m\)