Detection of the Rank of Regression Coefficient Matrix by M-Method
 
                 
                
                    
                                        
                    - 
Graphical Abstract
 
                                        
                    - 
Abstract
    To determine the rank of regression coefficient matrix in a multivariate linear regression model, a model selection procedure is proposed based on the M-estimation. It is derived that the estimator of the rank of regression coefficient matrix under some mild conditions is strongly consistent.
 
                                        
                    - 
                        
                     
                    
                    
                                        
                    -