This paper considers index models, such as neural network models and smooth transition regressions, with integrated regressors. These are the models that can be ued to analyze various nonlinear relationships among nonstationary economic time series. Asymptotics for the nonlinear least squares...

This paper develops an asymptotic theory for time series binary choice models with nonstationary explanatory variables generated as integrated processes. Both logit and probit models are covered. The maximum likelihood (ML) estimator is consistent but a new phenomenon arises in its limit...

We document a highly significant, strongly nonlinear dependence of stock and bond returns on past equity-market volatility as measured by the VIX. We propose a new estimator for the shape of the nonlinear forecasting relationship that exploits additional variation in the cross section of...

This paper estimates the value added by Big 8/6/5 auditors after controlling for the permanent and non-permanent impact of earnings and cash flows using linear and nonlinear (arctan) regression models. The linear model shows significant value added for industrial firms that utilise Big 8/6/5...

This paper develops asymptotic theory for a nonlinear parametric cointegrating regression model. We establish a general framework for weak consistency that is easy to apply for various nonstationary time series, including partial sums of linear processes and Harris recurrent Markov chains. We...

This paper establishes two simple and new specification tests based on the use of an orthogonal series. The paper then establishes an asymptotic theory for each of the proposed tests. The first test is initially proposed for the case where the regression function involved is integrable and the...

This paper proposes two simple and new specification tests based on the use of an orthogonal series for a considerable class of cointegrated time series models with endogeneity and nonsta-tionarity. The paper then establishes an asymptotic theory for each of the proposed tests. The first test is...

This paper considers the nonlinear regression with integrated regressors that are contemporaneously correlated with the regression error. We, in particular, establish the consistency and derive the limiting distribution of the nonlinear least squares estimator under such endogeneity for the...

The purpose of this note is to contribute to modeling time series that may be characterized as integrated. In particular, a discussion about the use of standard distributions in regression models is included and some essential concepts are previously reviewed to this effect. The main objective...

The properties of Granger-causality tests are examined when applied to integrated time series. Recently presented results suggesting spurious causality in such circumstances are shown to be highly dependent upon the absence of deterministic terms from the causality testing equations. The...