Testing for structural change in the presence of auxiliary models

摘要

Several estimation procedures such as the efficient method of moments(EMM)of Gallant and Tauchen(1996,Econometric Theory 12,657-681)and indirect inference procedure of Gourieroux,Monfort,and Renault(1993,Journal of Applied Econometrics 8,S85-S118)involve two models,an auxiliary one and a model of interest.The role played by both models poses challenges and provides new opportunities for hypothesis testing beyond the usual Wald-,Lagrange multiplier-,and likelihood ratio-type tests.In this paper we present and derive the asymptotic distribution theory for various classes of tests for structural change.Some procedures are extensions of standard tests,whereas others are specific to the dual model setup and exploit its unique features.