Dual regression
Richard Spady and
Sami Stouli
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Richard Spady: Institute for Fiscal Studies and Johns Hopkins
No CWP04/16, CeMMAP working papers from Centre for Microdata Methods and Practice, Institute for Fiscal Studies
Abstract:
We propose an alternative ('dual regression') to the quantile regression process for the global estimation of conditional distribution functions under minimal assumptions. Dual regression provides all the interpretational power of the quantile regression process while largely avoiding the need for `rearrangement' to repair the intersecting conditional quantile surfaces that quantile regression often produces in practice. Our approach relies on a mathematical programming characterization of conditional distribution functions which, in its simplest form, provides a simultaneous estimator of location and scale parameters in a linear heteroscedastic model. The statistical properties of this estimator are derived.
Date: 2016-01-13
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Related works:
Working Paper: Dual regression (2019) 
Journal Article: Dual regression (2018) 
Working Paper: Dual Regression (2018) 
Working Paper: Dual regression (2016) 
Working Paper: Dual Regression (2016) 
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