Characterization based symmetry tests and their asymptotic efficiencies

DOI10.1016/j.spl.2016.07.007zbMath1349.62155OpenAlexW2515629871MaRDI QIDQ334022

Mohammad Hasan, M. Dambrine

Publication date: 31 October 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.07.007

zbMATH Keywords

order statistics\(U\)-statisticsBahadur efficiencysymmetry testsasymptotic efficiencies

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Large deviations (60F10) Asymptotic properties of parametric tests (62F05)

Related Items (13)

New tests for exponentiality based on a characterization with random shift ⋮ Comparison of symmetry tests against some skew-symmetric alternatives in i.i.d. and non-i.i.d. setting ⋮ Distribution-free goodness-of-fit tests for the Pareto distribution based on a characterization ⋮ Characterization results for symmetric continuous distributions based on the properties of \(k\)-records and spacings ⋮ Tests for symmetry based on the integrated empirical process ⋮ Comparison of efficiencies of some symmetry tests around an unknown centre ⋮ Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives ⋮ Rothman-Woodroofe symmetry test statistic revisited ⋮ 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 continuous symmetric distributions using information measures of records ⋮ Characterization of symmetric distributions based on concomitants of ordered variables from FGMs family of bivariate distributions

Uses Software

• sn

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