One gives a recursive algorithm for the computation of the first and second order derivatives of the entropy of a periodic autoregressive process with respect to the autocovariances. It is an extension of the periodic LevinsonDurbin algorithm. The algorithm has been developed for use at one of the steps of an entropy maximization method developed by the authors. Numerical examples of entropy ma...

This paper explains why Godambe-Durbin \estimating functions" (EFs) from 1960 are worthy of attention in econometrics. Godambe and Kale (1991) show the failures of Gauss-Markov and least squares and prove the small-sample superiority of EFs. There are many areas of Econometrics including unit root estimation, generalized method of moments (GMM), panel data models, etc., which can use some simpl...

We examine the problem of estimating the linear regression model's coefficients when there are uncertain linear restrictions about these parameters. Theorems are provided that generalize results obtained by Magnus and Durbin (1999) and Danilov and Magnus (2004).

The correct implementation of the Durbin and Koopman simulation smoother is explained. A possible misunderstanding is pointed out and clarified for both the basic state space model and for its extension that allows time-varying intercepts (mean adjustments).