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Chunk #77 — Methods — Notation and preliminaries

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Exploring the phenotypic consequences of tissue specific gene expression variation inferred from GWAS summary statistics.
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With this notation, our goal is to infer PrediXcan results (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hat \gamma _g$$\end{document}γ^g and its standard error) using only GWAS results (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hat \beta _l$$\end{document}β^l and their standard error), estimated variances of SNPs (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hat \sigma _l^2$$\end{document}σ^l2), estimated covariances between SNPs in each gene model (Γg), and prediction model weights wlg.