Automatic Selection for Non-linear Models


Our strategy for automatic selection in potentially non-linear processes is: test for non-linearity in the unrestricted linear formulation; if that test rejects, specify a general model using polynomials, to be simplified to a minimal congruent representation; finally select by encompassing tests of specific non-linear forms against the selected model. Non-linearity poses many problems: extreme observations leading to non-normal (fat-tailed) distributions; collinearity between non-linear functions; usually more variables than observations when approximating the non-linearity; and excess retention of irrelevant variables; but solutions are proposed. A returns-to-education empirical application demonstrates the feasibility of the non-linear automatic model selection algorithm Autometrics.


Irrelevant Variable Extreme Observation Linear Regressor Model Selection Algorithm Excess Retention 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag London Limited 2012

Authors and Affiliations

  1. 1.Magdalen College & Institute for New Economic Thinking at the Oxford Martin SchoolUniversity of OxfordOxfordUK
  2. 2.Economics Department & Institute for New Economic Thinking at the Oxford Martin SchoolUniversity of OxfordOxfordUK

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