In this final article of our three-part series, we demonstrate why stochastic coefficients models are well suited to predict future variables We analyze the forecasting problem and consider various criteria of prediction If a forecaster must choose one from among several coherent predictors,...

This paper extends results of Bolthausen and Schmock on the asymptotical behaviour of certain Laplace-type transformations of Markov chains in two aspects: First we consider transformations of a more general class of processes which satisfy an Orey-type fading condition and secondly we study...