A theory of dichotomous valuation with applications to variable selection

@article{Hu2020ATO,
  title={A theory of dichotomous valuation with applications to variable selection},
  author={Xingwei Hu},
  journal={Econometric Reviews},
  year={2020},
  volume={39},
  pages={1075 - 1099}
}
  • Xingwei Hu
  • Published 1 August 2018
  • Economics, Computer Science
  • Econometric Reviews
Abstract An econometric or statistical model may undergo a marginal gain if we admit a new variable to the model, and a marginal loss if we remove an existing variable from the model. Assuming equality of opportunity among all candidate variables, we derive a valuation framework by the expected marginal gain and marginal loss in all potential modeling scenarios. However, marginal gain and loss are not symmetric; thus, we introduce three unbiased solutions. When used in variable selection, our… 
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Citation Type

A Dichotomous Analysis Of Unemployment Welfare
  • Hu
  • Economics
  • 2019
In an economy which could not accommodate full employment of its labor force, it employs some but does not employ others. The bipartition of the labor force is random, and we characterize it by a…
A Dichotomous Analysis Of Unemployment Welfare
In an economy which could not accommodate full employment of its labor force, it employs some but does not employ others. The bipartition of the labor force is random, and we characterize it by a…

References

SHOWING 1-10 OF 43 REFERENCES
Analysis of regression in game theory approach
Working with multiple regression analysis a researcher usually wants to know a comparative importance of predictors in the model. However, the analysis can be made difficult because of…
A Note on Screening Regression Equations
Abstract Consider developing a regression model in a context where substantive theory is weak. To focus on an extreme case, suppose that in fact there is no relationship between the dependent…
A Shapley-based decomposition of the R-Square of a linear regression
This note suggests a new way of determining the exact contributions of the explanatory variables to the R-Square of a linear regression. The proposed methodology combines the so-called Shapley…
Shapley-value decompositions of changes in wage distributions: a note
This note shows how the Shapley value can be applied to the regression-based methods that are often used to decompose changes in wage distributions. The method remedies the path-dependency exhibited…
A Dichotomous Analysis Of Unemployment Welfare
In an economy which could not accommodate full employment of its labor force, it employs some but does not employ others. The bipartition of the labor force is random, and we characterize it by a…
Feature Selection via Coalitional Game Theory
TLDR
Empirical comparison with several other existing feature selection methods shows that the backward elimination variant of CSA leads to the most accurate classification results on an array of data sets.
Estimators of Relative Importance in Linear Regression Based on Variance Decomposition
Assigning shares of “relative importance” to each of a set of regressors is one of the key goals of researchers applying linear regression, particularly in sciences that work with observational data.…
APPROACHES FOR BAYESIAN VARIABLE SELECTION
This paper describes and compares various hierarchical mixture prior formulations of variable selection uncertainty in normal linear regression models. These include the nonconjugate SSVS formulation…
An Efficient Explanation of Individual Classifications using Game Theory
TLDR
The method is based on fundamental concepts from coalitional game theory and predictions are explained with contributions of individual feature values and overcome the method's initial exponential time complexity with a sampling-based approximation.
Regression Shrinkage and Selection via the Lasso
TLDR
A new method for estimation in linear models called the lasso, which minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant, is proposed.
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