In this note, it is argued that cointegration augments the distance between the differenced series. If two series, x <Subscript> t </Subscript> and y <Subscript> t </Subscript>, are integrated of order one and cointegrated and v <Subscript> t </Subscript> and w <Subscript> t </Subscript> are integrated of order one but not cointegrated then, under certain conditions, the distance...</subscript></subscript></subscript></subscript>

This paper discusses the joint unpredictability of asset returns on two markets. It provides a necessary condition for joint unpredictability in term of distance between information sets. We conclude that the joint unpredictability requires a condition very strong and so, in this sense, it...

The purpose of this paper is to analyze in bivariate vector autoregression the relationship between feedback in stochastic systems, Granger causality and a measure of dissimilarity between ARMA models. In particular, we consider a bivariate vector autoregressive processes of order p (a bivariate...