Estimating the Model with Fixed and Random Effects by a Robust Method

Verfasser / Beitragende:
[Jan Víšek]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/4(2015-12-01), 999-1014
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-014-9432-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-014-9432-5 
100 1 |a Víšek  |D Jan  |u Faculty of Social Sciences, Institute of Economic Studies, Charles University, Opletalova 26, Prague, The Czech Republic  |4 aut 
245 1 0 |a Estimating the Model with Fixed and Random Effects by a Robust Method  |h [Elektronische Daten]  |c [Jan Víšek] 
520 3 |a Regression model with fixed and random effects estimated by modified versions of the Ordinary Least Squares (OLS) is a standard tool of panel data analysis. However, it is vulnerable to the bad effects of influential observations (contamination and/or atypical observations). The paper offers robustified versions of the classical methods for this framework. The robustification is carried out by the same idea which was employed when robustifying OLS, it is the idea of weighting down the large order statistics of squared residuals. In contrast to the approach based on the M-estimators this approach does not need the studentization of residuals to reach the scale- and regression-equivariance of estimator in question. Moreover, such approach is not vulnerable with respect the inliers. The numerical study reveals the reliability of the respective algorithm. The results of this study were collected in a file which is possible to find on web, address is given below. Patterns of these results were included also into the paper. The possibility to reach nearly the full efficiency of estimation - due to the iteratively tailored weight function - in the case when there are no influential points is also demonstrated. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Linear regression model  |2 nationallicence 
690 7 |a The least weighted squares  |2 nationallicence 
690 7 |a Fixed and random effects  |2 nationallicence 
690 7 |a Numerical simulations  |2 nationallicence 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 999-1014  |x 1387-5841  |q 17:4<999  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-014-9432-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-014-9432-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Víšek  |D Jan  |u Faculty of Social Sciences, Institute of Economic Studies, Charles University, Opletalova 26, Prague, The Czech Republic  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 999-1014  |x 1387-5841  |q 17:4<999  |1 2015  |2 17  |o 11009