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Generalized Hodges-Lehmann estimators for the analysis of variance
Authors:Gavin G. Gregory
Abstract:For Xi, …, Xn a random sample and K(·, ·) a symmetric kernel this paper considers large sample properties of location estimator satisfying , . Asymptotic normality of is obtained and two forms of interval estimators for parameter θ satisfying EK(X1 − θ, X2 − θ) = 0, are discussed. Consistent estimation of the variance parameters is obtained which permits the construction of asymptotically distribution free procedures. The p-variate and multigroup extension is accomplished to provide generalized one-way MANOVA. Monte Carlo results are included.
Keywords:U-statistics   Hodges-Lehmann estimators   MANOVA
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