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Generalized mixed estimator for nonlinear models: a maximum likelihood approach 

Authors: Pene Kalulumia a; Denis Bolduc b
Affiliations:   a Deacutepartement d'eacuteconomique, Universiteacute de Sherbrooke, Sherbrooke, Qc, Canada
b Deacutepartement d'eacuteconomique, Universiteacute Laval, Ste-Foy, Qc, Canada
DOI: 10.1080/07474939708800374
Publication Frequency: 6 issues per year
Published in: journal Econometric Reviews, Volume 16, Issue 1 1997 , pages 93 - 107
Formats available: PDF (English)
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Abstract

This paper considers the problem of estimating a nonlinear statistical model subject to stochastic linear constraints among unknown parameters. These constraints represent prior information which originates from a previous estimation of the same model using an alternative database. One feature of this specification allows for the disign matrix of stochastic linear restrictions to be estimated. The mixed regression technique and the maximum likelihood approach are used to derive the estimator for both the model coefficients and the unknown elements of this design matrix. The proposed estimator whose asymptotic properties are studied, contains as a special case the conventional mixed regression estimator based on a fixed design matrix. A new test of compatibility between prior and sample information is also introduced. Thesuggested estimator is tested empirically with both simulated and actual marketing data.
Keywords: nonlinear models; mixed regression; maximum likelihood; stochastic linear constraints
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