Local and global rank tests for multivariate varying-coefficient models

Stephen Donald, Natércia Fortuna and Vladas Pipiras ()
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Vladas Pipiras: Dept. of Statistics and Operations Research, UNC at Chapel Hill

FEP Working Papers from Universidade do Porto, Faculdade de Economia do Porto

Abstract: In a multivariate varying-coefficient model, the response vectors Y are regressed on known functions u(X) of some explanatory variables X and the coefficients in an unknown regression matrix q(Z) depend on another set of explanatory variables Z. We provide statistical tests, called local and global rank tests, which allow to estimate the rank of an unknown regression coefficient matrix q(Z) locally at a fixed level of the variable Z or globally as the maximum rank over all levels of Z, respectively. In the case of local rank tests, we do so by applying already available rank tests to a kernel-based estimator of the coefficient matrix q(z). Global rank tests are obtained by integrating test statistics used in estimation of local rank tests. We present a simulation study where, focusing on global ranks, we examine small sample properties of the considered statistical tests. We also apply our results to estimate the so-called local and global ranks in a demand system where budget shares are regressed on known functions of total expenditures and the coefficients in a regression matrix depend on prices faced by a consumer.

Keywords: varying-coefficient model; kernel smoothing; matrix rank estimation; demand systems; local and global ranks (search for similar items in EconPapers)
JEL-codes: C12 C13 C14 D12 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2005-12
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (1)

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Related works:
Journal Article: Local and Global Rank Tests for Multivariate Varying-Coefficient Models (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:por:fepwps:196

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