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Doubly robust and computationally efficient high-dimensional variable selection
Abhinav Chakraborty, Jeffrey Zhang, Eugene Katsevich
Variable selection can be performed by testing conditional independence (CI) between each predictor and the response, given the other predictors. A doubly robust and powerful optio…
The saddlepoint approximation for averages of conditionally independent random variables
Ziang Niu, Jyotishka Ray Choudhury, Eugene Katsevich
Motivated by the application of saddlepoint approximations to resampling-based statistical tests, we prove that the Lugannani-Rice formula has vanishing relative error when applied…
Saddlepoint approximations for plug-in resampling
Ziang Niu, Zhihan Huang, Jyotishka Ray Choudhury +1
Resampling-based procedures can improve on normal approximations in sparse, large-scale testing problems, but their computational cost can be prohibitive. We recognize that several…