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On tests for selection of variables and independence under multivariate regression models
Authors:T. Kariya   Y. Fujikoshi  P. R. Krishnaiah
Affiliation:Hitotsubashi University Japan;Hiroshima University, Hiroshima, Japan;Center for Multivariate Analysis, University of Pittsburgh USA
Abstract:The authors consider various procedures for testing the hypotheses of independence of two sets of variables and certain regression coefficients are zero under multivariate regression model. Various properties of these procedures and the asymptotic distributions associated with these procedures are also considered.
Keywords:Asymptotic distribution theory   correlated multivariate regression equations (CMRE) model   locally best invariant tests   selection of variables   tests for independence
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