property is shown not to apply for nonlinear cointegration. The requisite limit theory involves sample covariances of … parameter so as to accommodate kernel regression. The theory is an extension of Wang and Phillips (2008) and is useful for the … correct specification but the variance of the limit distribution is larger. Some applications of the limit theory to non …

finite sample critical values for both tests. Simulation studies corroborate the theory and the asymptotics. An empirical …

We provide a new asymptotic theory for local time density estimation for a general class of functionals of integrated … time series. This result provides a convenient basis for developing an asymptotic theory for nonparametric cointegrating … avoids Fourier integral representations and Markov process theory which have been used in earlier research on this type of …

-parametric tests. Small-b asymptotics involve standard limit theory such as standard normal or chi-squared limits, whereas fixed …