Abstract :
We present some methods for the estimation and testing of usual ergodic interest rate models based on the observation of the short interest rate on the monetary market. First, we develop a test of type Kolmogorov-Smirnov for ergodic diffusion processes. We extend the results to the case where some parameters are estimated. Thereafter, we study a minimum distance estimator, based on the Lμ2 norm of the empirical process, which can be more robust than the usual ones (MLE, Bayes, MME) to some miss-specifications of the model.