This paper considers the regression with errors having nonstationary nonlinear heteroskedasticity. For both the usual stationary regression and the nonstationary cointegrating regression, we develop the asymptotic theories for the least squares methods in the presence of conditional...

This paper analyzes nonlinear cointegrating regressions as have been recently analyzed in a paper by Park and Phillips in Econometrica. I analyze the consequences of removing Park and Phillips' exogeneity assumption, which for the special case of a linear model would imply the asymptotic...

To date the cointegrating properties and the regime-switching behavior of the term structure are two separate strands of the literature. This paper integrates these lines of research and introduces regime shifts into a cointegrated VAR model. We argue that the short-run dynamics of the...