The topic of this chapter is forecasting with nonlinear models. First, a number of well-known nonlinear models are introduced and their properties discussed. These include the smooth transition regression model, the switching regression model whose univariate counterpart is called threshold...

The use of Markov processes (or Markov chains) has become widespread in dynamic stochastic modeling. For example, its use is ubiquitous in macroeconomics (dynamic stochastic general equilibrium), finance (dynamic asset pricing), and areas of microeconomics (dynamic programming). As we discuss...

This paper investigates, in a particular parametric framework, the geometric meaning of joint unpredictability for a bivariate discrete process. In particular, the paper provides a characterization of the joint unpredictability in terms of distance between information sets in an Hilbert space.