This paper deals with a nonlinear filtering problem in which a multi-dimensional signal process is additively affected by a process v whose components have paths of bounded variation. The presence of the process v prevents from directly applying classical results and novel estimates need to be...

It is divided into four substantive parts, as follows: Part 1, Stochastic Models and their Forecasting, is an introduction to linear stationary models with finite numbers of parameters, in particular ARMA (mixed autoregressive-moving average) processes, their probabilistic and forecasting...

A planner and agent in a permanent-income economy cannot observe part of the state, regard their model as an approximation, and value decision rules that are robust across a set of models. They use robust decision theory to choose allocations. Equilibrium prices reflect the preference for...