IEEE Transactions on Automatic Control, Vol.39, No.1, 211-215, 1994
On Statistical Properties of a Test for Model Structure Selection Using the Extended Instrumental Variable Approach
A procedure for structural estimation using the extended instrumental variable technique is presented. The statistical distribution of the test quantity is obtained in the white noise case. A criterion is defined by introducing a penalty term on the decreasing rate (with the number of parameters) of the proposed test quantity. The consistency of the estimate is proven. Monte Carlo simulations are included.
Keywords:ORDER IDENTIFICATION