Measurement Error Models with Nonconstant Covariance Matrices

Reinaldo B. Arellano-Valle, Heleno Bolfarine and Loreta Gasco

Journal of Multivariate Analysis, 2002, vol. 82, issue 2, 395-415

Abstract: In this paper we consider measurement error models when the observed random vectors are independent and have mean vector and covariance matrix changing with each observation. The asymptotic behavior of the sample mean vector and the sample covariance matrix are studied for such models. Using the derived results, we study the case of the elliptical multiplicative error-in-variables models, providing formal justification for the asymptotic distribution of consistent slope parameter estimators. The model considered extends a normal model previously considered in the literature. Asymptotic relative efficiencies comparing several estimators are also reported.

Keywords: asymptotic; distribution; sample; mean; vector; and; sample; covariance; matrix; elliptical; distribution; multiplicative; measurement; error; model (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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