A geometrical setting is constructed, based on Hilbert space, in which the asymptotic properties of estimators can be studied. Estimators are defined in the context of parametrised models, which are treated as submanifolds of an underlying Hilbert manifold, on which a parameter-defining mapping...

In the general linear errors-in-variables model the main results have been derived under the assuption that the measurement errors are uncorrelated. However, as recognized by Bekker, Kapteyn and Wansbeek (BKW) (1997) and Lach (1993) this is often a problematic assumption to maintain in empirical...

This paper proposes a particular behavioral assumption to characterize the stochastic structure of intertemporal discrete choice models in the absence of state dependence. This assumption extends Luce's axiom; "Independence from Irrelevant Alternatives", to the intertemporal context. Under...

The paper deals with the problem of identifying stochastic unobserved two-component models, as in seasonal adjustment or trend-cycle decompositions. Solutions based on the properties of the unobserved component estimation error are considered, and analytical expressions for the variances and...

Five different identification problems in mixture models are made explicit. Necessary and sufficient relationships among these problems of identification are analyzed using the concepts of weak and strong identification. This analysis is first particularized under a normality assumption and then...

Results for the identification of non-linear models are used to support the raditional form of he order condition by sufficient conditions. The sufficient conditions reveal a two step procedure for firstly checking generic identification and then testing identifiability. This approach canbe...

A unit root test is usually carried out by using the regression test introduced by Dickey and Fuller (1979). Under the null hypothesis the series should be a random walk. But a non-stationary series can usually be decomposed into a random walk and a stationary component. This is what is done in...

Most confidence intervals, whether based on asymptotic theory or the bootstrap, are implicitly based on inverting a Wald test. Since Wald test statistics are not invariant under nonlinear reparametrizations of the restrictions they test, confidence intervals based on them are not invariant...