A characterization of and new consistent tests for symmetry

DOI10.1080/03610929208830863zbMath0800.62244OpenAlexW2058999488MaRDI QIDQ3135661

Ludwig Baringhaus, Norbert Henze

Publication date: 7 October 1993

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929208830863

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Characterization and structure theory of statistical distributions (62E10)

Related Items (16)

Comparison of symmetry tests against some skew-symmetric alternatives in i.i.d. and non-i.i.d. setting ⋮ Efficiency of some tests when testing symmetry hypothesis ⋮ Characterization based symmetry tests and their asymptotic efficiencies ⋮ Moderate Deviations Results for a Symmetry Testing Statistic Based on the Kernel Density Estimator for Directional Data ⋮ A Monte Carlo evaluation of the performance of two new tests for symmetry ⋮ Comparison of efficiencies of some symmetry tests around an unknown centre ⋮ A new way of quantifying the symmetry of a random variable: estimation and hypothesis testing ⋮ Tests of symmetry based on transformed empirical processes ⋮ Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives ⋮ Rothman-Woodroofe symmetry test statistic revisited ⋮ Large deviations of U-empirical Kolmogorov–Smirnov tests and their efficiency ⋮ On the consistency of a test for symmetry based on a runs statistic ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics ⋮ Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics ⋮ New characterization-based symmetry tests ⋮ Characterization of symmetric distributions based on concomitants of ordered variables from FGMs family of bivariate distributions

Cites Work

• A Cramer Von-Mises Type Statistic for Testing Symmetry
• A Test for Symmetry Using the Sample Distribution Function
• On Testing the Symmetry of Distributions
• Unnamed Item

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