The paper establishes error orders for integral limit approximations to the traces of products of Toeplitz matrices generated by integrable real symmetric functions defined on the unit circle. These approximations and the corresponding error bounds are of importance in the statistical analysis...

This paper deals with the comparison of stationary processes with unequal sample sizes. We provide a detailed theoretical framework on a test for equality of spectral densities in the bivariate case, after which the generalization of our approach to the m-dimensional case and to other...

Estimating functions have been shown to be convenient to study inference for nonlinear time series models. One such model is the recently proposed Random Coefficient Autoregressive (RCA) model with Generalized Autoregressive Heteroscedasticity (GARCH) errors (Thavaneswaran et al., 2009). We...