Optimal Estimation of Co-heritability in High-dimensional Linear Models

Understand

Co-heritability is an important concept that characterizes the genetic associations within pairs of quantitative traits.

• There has been significant recent interest in estimating the co-heritability based on data from the genome-wide association studies (GWAS).
• This paper introduces two measures of co-heritability in the high-dimensional linear model framework, including the inner product of the two regression vectors and a normalized inner product by their lengths.
• Functional de-biased estimators (FDEs) are developed to estimate these two co-heritability measures.