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The bootstrap: To smooth or not to smooth?

Biometrika, 1987
In the statistical bootstrap the sample is resampled with replacement. However, these samples with replacement are not drawn from the unknown distribution F itself but from the empirical distribution function \(F_ n\) of the observed data. Because \(F_ n\) is a discrete distribution, samples constructed from \(F_ n\) in the bootstrap simulations will ...
Bernard W Silverman, G A Young
exaly   +4 more sources

Smooth bootstrap methods for analysis of longitudinal data [PDF]

open access: yesStatistics in Medicine, 2007
AbstractIn analysis of longitudinal data, the variance matrix of the parameter estimates is usually estimated by the ‘sandwich’ method, in which the variance for each subject is estimated by its residual products. We propose smooth bootstrap methods by perturbing the estimating functions to obtain ‘bootstrapped’ realizations of the parameter estimates ...
Li, Yue, Wang, You-Gan
openaire   +6 more sources

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