On Bootstrapping M-Estimated Residual Processes in Multiple Linear-Regression Models
H. L. Koul and
S. N. Lahiri
Journal of Multivariate Analysis, 1994, vol. 49, issue 2, 255-265
Abstract:
It is shown, under fairly general conditions, that Efron's bootstrap procedure captures the limit distribution of weighted empirical processes based on M-estimated residuals in multiple linear regression models. As an application, we construct bootstrap confidence bands for the error distribution function F. The main result can also be used to design distribution-free goodness-of-fit tests for F without any recourse to the split-sample estimation of the regression parameters.
Date: 1994
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