Elliptical structural models
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Date
1996
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Publisher
MARCEL DEKKER INC
Abstract
In this paper we consider structural measurement error models within the elliptical family of distributions. We consider dependent and independent elliptical models, each of which requires special treatment methodology. We discuss in each case estimation and hypothesis testing using maximum likelihood theory. As shown, most of the developments obtained under normal theory carries through to the dependent case. In the independent case, emphasis is placed on the t-distribution, an important member of the elliptical family. Correcting likelihood ratio statistics in both cases is also of major interest.
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Keywords
Bartlett corrections, dependent and independent structural elliptical models, information matrix, maximum likelihood estimators, orthogonal parameters, likelihood ratio test, REGRESSION-MODEL, ERROR, PARAMETER, INFERENCE