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Bootstrap methods for heteroskedastic regression models: evidence on estimation and testing 

Authors: F. Cribari-Neto a; S. G. Zarkos b
Affiliations:   a Department of Economics, Dept.de Estatistica, Southern Illinois University, Universidade Federal de Pernambuco Cidade Universiteacuteria, Carbondale,Recife/PE, IL, USA, Brazil
b Department of Economics, Foundation for Economic and Industrial Research, University of Athens, Athens, Athens, GR, Greece, Greece
DOI: 10.1080/07474939908800440
Publication Frequency: 6 issues per year
Published in: journal Econometric Reviews, Volume 18, Issue 2 1999 , pages 211 - 228
Formats available: PDF (English)
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Abstract

This paper uses Monte Carlo simulation analysis to study the finite-sample behavior of bootstrap estimators and tests in the linear heteroskedastic model. We consider four different bootstrapping schemes, three of them specifically tailored to handle heteroskedasticity. Our results show that weighted bootstrap methods can be successfully used to estimate the variances of the least squares estimators of the linear parameters both under normality and under nonnormality. Simulation results are also given comparing the size and power of the bootstrapped Breusch-Pagan test with that of the original test and of Bartlett and Edgeworth-corrected tests. The bootstrap test was found to be robust against unfavorable regression designs.
Keywords: Bartlett-type correction; bootstrap; Edgeworth expansion; heteroskedasticity; Lagrange multiplier test; score test; weighted bootstrap; JEL CLASSIFICATION:C12,C13,C15
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