Open Access
May 2010 A semiparametric efficient estimator in case-control studies
Yanyuan Ma
Bernoulli 16(2): 585-603 (May 2010). DOI: 10.3150/09-BEJ210


We construct a semiparametric estimator in case-control studies where the gene and the environment are assumed to be independent. A discrete or continuous parametric distribution of the genes is assumed in the model. A discrete distribution of the genes can be used to model the mutation or presence of certain group of genes. A continuous distribution allows the distribution of the gene effects to be in a finite-dimensional parametric family and can hence be used to model the gene expression levels. We leave the distribution of the environment totally unspecified. The estimator is derived through calculating the efficiency score function in a hypothetical setting where a close approximation to the samples is random. The resulting estimator is proved to be efficient in the hypothetical situation. The efficiency of the estimator is further demonstrated to hold in the case-control setting as well.


Download Citation

Yanyuan Ma. "A semiparametric efficient estimator in case-control studies." Bernoulli 16 (2) 585 - 603, May 2010.


Published: May 2010
First available in Project Euclid: 25 May 2010

zbMATH: 1345.62062
MathSciNet: MR2668916
Digital Object Identifier: 10.3150/09-BEJ210

Keywords: case-control study , gene-environment interaction , logistic regression , Semiparametric efficiency

Rights: Copyright © 2010 Bernoulli Society for Mathematical Statistics and Probability

Vol.16 • No. 2 • May 2010
Back to Top