TY - JOUR
AB - 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 Bickel and Yahav (1988) to show that m out of n bootstraps 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.
AU - Bickel, PJ
AU - GĂ¶tze, Friedrich
AU - vanZwet, WR
ID - 1628025
IS - 1
JF - STATISTICA SINICA
KW - bootstrap
KW - asymptotic
KW - nonparametric
KW - parametric
KW - testing
SN - 1017-0405
TI - Resampling fewer than n observations: Gains, losses, and remedies for losses
VL - 7
ER -