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A Unified Theory of Confidence Regions and Testing for High-Dimensional Estimating Equations

A Unified Theory of Confidence Regions and Testing for High-Dimensional Estimating Equations

We propose a new inferential framework for constructing confidence regions and testing hypotheses in statistical models specified by a system of high-dimensional estimating equations.We construct an influence function by projecting the fitted estimating equations to a sparse direction obtained by solving a large-scale linear program.Our main theoretical contribution is to …