4.6 Article

Multi-criteria optimization in regression

Journal

ANNALS OF OPERATIONS RESEARCH
Volume 306, Issue 1-2, Pages 7-25

Publisher

SPRINGER
DOI: 10.1007/s10479-021-03990-9

Keywords

Regression; Instrumental variables; Autocorrelation; Heteroskedasticity; Specification error; Multi-criteria optimization

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In this paper, a new technique for regression analysis is introduced, which can effectively address common problems such as autocorrelation, heteroskedasticity, etc. through multi-criteria optimization, eliminating these problems for the most part.
In this paper, we consider standard as well as instrumental variables regression. Specification problems related to autocorrelation, heteroskedasticity, neglected non-linearity, unsatisfactory out-of-small performance and endogeneity can be addressed in the context of multi-criteria optimization. The new technique performs well, it minimizes all these problems simultaneously, and eliminates them for the most part. Markov Chain Monte Carlo techniques are used to perform the computations. An empirical application to NASDAQ returns is provided.

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