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Recursive M-Tests for the Constancy of Multivariate Regression Relationships Over Time

For a general rnultivariate linear model, based on a general class of recursive M-estimators of regression parameters and allied M-statistics, some testing procedures for a possible change in the regression relationships occurring at an unknown time point are considered,. The (asymptotic) theory of the proposed tests rests on some invariance principles for some recursive M-estimators and related (residual) M-statistics, and these are studied too.