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Activity Number: 120 - SPEED: Nonparametric Statistics: Estimation, Testing, and Modeling
Type: Contributed
Date/Time: Monday, July 30, 2018 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract #329523 Presentation
Title: Estimation of Regression Function Using Shannon's Entropy
Author(s): Yi Mao* and Aman Ullah
Companies: University of California, Riverside and University of California, Riverside
Keywords: Shannon's entropy; maximum entropy distributions; regression function; response function
Abstract:

We introduce an information theoretic approach-Shannon's entropy to specify econometric functions as an alternative to avoid parametric assumptions. We investigate the performances of Shannon's entropy in estimating the regression (conditional mean) and response (derivative) functions. We have demonstrated that they are easy to implement, and are advantageous over parametric models and nonparametric kernel techniques.


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