Activity Number:
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345
- High-Dimensional Statistics
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Type:
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Contributed
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Date/Time:
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Tuesday, July 30, 2019 : 10:30 AM to 12:20 PM
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Sponsor:
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IMS
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Abstract #306939
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Presentation
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Title:
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Debiased Inference in High-Dimensional Single-Index Models Under Gaussian Design
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Author(s):
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Hamid Eftekhari* and Moulinath of Banerjee and Ya'acov Ritov
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Companies:
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University of Michigan and university of michigan and university of michigan
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Keywords:
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Sparsity;
Asymptotic normality;
Non-linear link function;
Semiparametric regression;
Average Partial Effect
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Abstract:
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We consider the problem of statistical inference of a single covariate in a single-index model with p > n covariates and unknown link function under Gaussian design. The estimator of the coefficient is similar to the de-biased lasso in the standard linear model and is square-root consistent and asymptotically normally distributed.
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Authors who are presenting talks have a * after their name.