We develop infinitesimally robust statistical procedures for general diffusion pro-cesses. We first prove existence and uniqueness of the times series influence functionof conditionally unbiased M{estimators for ergodic and stationary diffusions, underweak conditions on the (martingale)...

We propose a new class of test statistics inducing accurate dual likelihood ratio tests of parametric constraints in overidentified moment conditions models. These statistics are derived from the dual likelihood implied by the exponent in the saddlepoint approximation of a general GMM estimator...