Derivations are offered for the LIML and the 2SLS estimators of single equations of the classical econometric simultaneous-equation system that differ from the usual ones. By assimilating both estimators to the method of moments, their essential similarities are highlighted. The LIML estimator...

In this paper, we portray the essential features of the finite-sample signal extraction problem in both the stationary and the nonstationary cases. The computational procedures can be simplified in the light of our analysis. An important outcome of the analysis is a demonstration that the...

This paper sets forth some of the salient results in the algebra of circulant matrices which can be used in time-series analysis. It provides easy derivations of some results that are central to the analysis of statistical periodograms and empirical spectral density functions. A statistical test...

This paper expounds some of the results of Fourier theory that are essential to the statistical analysis of time series. It employs the algebra of circulant matrices to expose the structure of the discrete Fourier transform and to elucidate the filtering operations that may be applied to finite...

Whenever the specification of a dynamic regression relationship is in doubt, we should think of adopting a rational transfer-function model with separate parameters in the systematic part and the disturbance part. Some of the models which are commonly used in applied econometrics can give rise...

An account is given of recursive regression and of Kalman filtering which gathers the important results and the ideas that lie behind them within a small compass. It emphasises the areas in which econometricians have made contributions, which include the methods for handling the initial-value...