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Activity Number: 322
Type: Topic Contributed
Date/Time: Tuesday, August 5, 2014 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract #312311 View Presentation
Title: Optimal Prior-Free Probabilistic Variable Selection in Regression
Author(s): Ryan Martin*+
Companies:
Keywords: belief ; inferential model ; plausibility ; random set ; regression ; variable selection
Abstract:

Variable selection in linear regression is a fundamental problem. In the inferential model (IM) framework, variable selection corresponds to simultaneous consideration of several complex assertions about the slope parameter vector. I will discuss the general construction of optimal predictive random sets for simultaneous assertions subject to a balance condition, and apply these ideas to the variable selection problem. Simulation results demonstrate the superior performance of the IM-based method compared to those based on lasso, AIC, etc.


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