ECM - École Centrale de Marseille : UMR7316 (Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille - France)
Abstract : We study several methods of constructing confidence sets for the coefficient of the single right-hand-side endogenous variable in a linear equation with weak instruments. Two of these are based on conditional likelihood ratio (CLR) tests, and the others are based on inverting t statistics or the bootstrap P values associated with them. We propose a new method for constructing bootstrap confidence sets based on t statistics. In large samples, the procedures that generally work best are CLR confidence sets using asymptotic critical values and bootstrap confidence sets based on limited-information maximum likelihood (LIML) estimates.
Russell Davidson, James G. Mackinnon. Bootstrap Confidence Sets with Weak Instruments. Econometric Reviews, Taylor & Francis, 2014, 33 (5-6), pp.651--675. ⟨hal-01463109⟩