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VOL. 9 | 2013 Efficient estimation in the semiparametric normal regression-copula model with a focus on QTL mapping
Bojan Basrak, Chris A. J. Klaassen

Editor(s) M. Banerjee, F. Bunea, J. Huang, V. Koltchinskii, M. H. Maathuis

Abstract

The semiparametric normal copula model is studied with a correlation matrix that depends on a covariate. The bivariate version of this regression-copula model has been proposed for statistical analysis of Quantitative Trait Loci (QTL) via twin data. Appropriate linear combinations of Van der Waerden’s normal scores rank correlation coefficients yield $\sqrt{n}$-consistent estimators of the coefficients in the correlation function, i.e. of the regression parameters. They are used to construct semiparametrically efficient estimators of the regression parameters.

Information

Published: 1 January 2013
First available in Project Euclid: 8 March 2013

zbMATH: 1327.62192
MathSciNet: MR3186746

Digital Object Identifier: 10.1214/12-IMSCOLL903

Subjects:
Primary: 62G05 , 62G20
Secondary: 62P10

Keywords: $\sqrt{n}$-consistency , linkage analysis , QTL mapping , semiparametric inference , van der Waerden

Rights: Copyright © 2010, Institute of Mathematical Statistics

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