engleski

Efficient estimation in the semiparametric normal regression-copula model with a focus on QTL mapping

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 √ 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.

semiparametric inference, Van der Waerden, √ n-consistency, linkage analysis, QTL mapping

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