Gaussian Rank Correlation and Regression
Dante Amengual,
Enrique Sentana and
Zhanyuan Tian
A chapter in Essays in Honor of M. Hashem Pesaran: Panel Modeling, Micro Applications, and Econometric Methodology, 2022, vol. 43B, pp 269-306 from Emerald Group Publishing Limited
Abstract:
We study the statistical properties of Pearson correlation coefficients of Gaussian ranks, and Gaussian rank regressions – ordinary least-squares (OLS) models applied to those ranks. We show that these procedures are fully efficient when the true copula is Gaussian and the margins are non-parametrically estimated, and remain consistent for their population analogs otherwise. We compare them to Spearman and Pearson correlations and their regression counterparts theoretically and in extensive Monte Carlo simulations. Empirical applications to migration and growth across US states, the augmented Solow growth model and momentum and reversal effects in individual stock returns confirm that Gaussian rank procedures are insensitive to outliers.
Keywords: Copula; growth regressions; migration; misspecification; momentum; robustness; short-term reversals; C13; C46; G14; O47 (search for similar items in EconPapers)
Date: 2022
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Working Paper: Gaussian Rank Correlation and Regression (2020) 
Working Paper: Gaussian rank correlation and regression (2020) 
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Persistent link: https://EconPapers.repec.org/RePEc:eme:aecozz:s0731-90532021000043b012
DOI: 10.1108/S0731-90532021000043B012
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