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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