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

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Authors
Publication date 2013
Journal Institute of Mathematical Statistics Collections
Volume | Issue number 9
Pages (from-to) 20-32
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.1214/12-IMSCOLL903
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