EN
The paper deals with a first-order autoregression model with parameter estimation with exponential forgetting, known and well established in the mathematical system theory. However, the use of exponential forgetting in econometry is not a standard. Under the assumption of slow timevariability of model parameters and model stationarity, this estimation method could however lead to significant improvement of the prediction quality. In this paper, we describe the Bayesian approach to such a modelling and parameter estimation. The use of the method is demonstrated on a one-step-ahead prediction of the EUR-USD exchange rate.