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Nonparametric estimation of location parameter after a preliminary test on regression in the multivariate case
Authors:Pranab Kumar Sen  AKMdEhsanes Saleh
Institution:University of North Carolina, Chapel Hill, USA;Carleton University, Ottawa, Canada
Abstract:For a simple multivariate regression model, nonparametric estimation of the (vector of) intercept following a preliminary test on the regression vector is considered. Along with the asymptotic distribution of these estimators, their asymptotic bias and dispersion matrices are studied and allied efficiency results are presented.
Keywords:62G20  62H99  Asymptotic bias  asymptotic dispersion matrix  asymptotic relative efficiency  asymptotic multi-normality  nonparametric multivariate estimation  preliminary test estimator
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