Bickel, P. J.; Götze, F.; van Zwet, W. R. Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. (English) Zbl 0927.62043 Stat. Sin. 7, No. 1, 1-31 (1997). Summary: We discuss a number of resampling schemes in which \(m=o(n)\) observations are resampled. We review nonparametric bootstrap failure and give results old and new on how the \(m\) out of \(n\) with replacement and without replacement bootstraps work. We extend work of P. J. Bickel and J. A. Yahav [J. Am. Stat. Assoc. 83, No. 402, 387-393 (1988; Zbl 0664.62014)] to show that \(m\) out of \(n\) bootstrap can be made second order correct, if the usual nonparametric bootstrap is correct and study how these extrapolation techniques work when the nonparametric bootstrap does not. Cited in 4 ReviewsCited in 112 Documents MSC: 62G09 Nonparametric statistical resampling methods 62G20 Asymptotic properties of nonparametric inference Keywords:parametric; testing; bootstrap Citations:Zbl 0664.62014 PDFBibTeX XMLCite \textit{P. J. Bickel} et al., Stat. Sin. 7, No. 1, 1--31 (1997; Zbl 0927.62043)