---
_id: '1628025'
abstract:
- lang: eng
text: 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.
article_type: original
author:
- first_name: PJ
full_name: Bickel, PJ
last_name: Bickel
- first_name: Friedrich
full_name: Götze, Friedrich
id: '10518'
last_name: Götze
- first_name: WR
full_name: vanZwet, WR
last_name: vanZwet
citation:
ama: 'Bickel PJ, Götze F, vanZwet WR. Resampling fewer than n observations: Gains,
losses, and remedies for losses. *STATISTICA SINICA*. 1997;7(1):1-31.'
angewandte-chemie: 'P. J. Bickel, F. Götze, and W. R. vanZwet, “Resampling fewer
than n observations: Gains, losses, and remedies for losses”, *STATISTICA SINICA*,
**1997**, *7*, 1-31.'
apa: 'Bickel, P. J., Götze, F., & vanZwet, W. R. (1997). Resampling fewer than
n observations: Gains, losses, and remedies for losses. *STATISTICA SINICA*,
*7*(1), 1-31.'
apa_indent: 'Bickel,
P. J., Götze, F., & vanZwet, W. R. (1997). Resampling fewer than n observations:
Gains, losses, and remedies for losses. *STATISTICA SINICA*, *7*(1),
1-31.

'
bio1: 'Bickel PJ, Götze F, vanZwet WR (1997)

Resampling fewer than n observations:
Gains, losses, and remedies for losses.

STATISTICA SINICA 7(1): 1-31.'
chicago: 'Bickel,
PJ, Götze, Friedrich, and vanZwet, WR. 1997. “Resampling fewer than n observations:
Gains, losses, and remedies for losses”. *STATISTICA SINICA* 7 (1): 1-31.

'
default: 'Bickel PJ, Götze F, vanZwet WR (1997)

*STATISTICA SINICA*
7(1): 1-31.'
dgps: 'Bickel,
P.J., Götze, F. & vanZwet, W.R. (1997). Resampling fewer than n observations:
Gains, losses, and remedies for losses. *STATISTICA SINICA*, *7*(1),
1-31. STATISTICA SINICA.

'
frontiers: 'Bickel, P. J., Götze, F., and vanZwet, W. R. (1997). Resampling fewer
than n observations: Gains, losses, and remedies for losses. *STATISTICA SINICA*
7, 1-31.'
harvard1: 'Bickel, P.J., Götze, F., & vanZwet, W.R., 1997. Resampling fewer
than n observations: Gains, losses, and remedies for losses. *STATISTICA SINICA*,
7(1), p 1-31.'
ieee: ' P.J. Bickel, F. Götze, and W.R. vanZwet, “Resampling fewer than n observations:
Gains, losses, and remedies for losses”, *STATISTICA SINICA*, vol. 7,
1997, pp. 1-31.'
lncs: ' Bickel, P.J., Götze, F., vanZwet, W.R.: Resampling fewer than n observations:
Gains, losses, and remedies for losses. STATISTICA SINICA. 7, 1-31 (1997).'
mla: 'Bickel, PJ, Götze, Friedrich, and vanZwet, WR. “Resampling fewer than n observations:
Gains, losses, and remedies for losses”. *STATISTICA SINICA* 7.1 (1997):
1-31.'
wels: 'Bickel, P. J.; Götze, F.; vanZwet, W. R. (1997): Resampling fewer than n
observations: Gains, losses, and remedies for losses *STATISTICA SINICA*,7:(1):
1-31.'
date_created: 2010-04-28T13:23:20Z
date_updated: 2019-05-13T11:03:39Z
department:
- _id: '10020'
external_id:
isi:
- A1997WF57100001
intvolume: ' 7'
isi: 1
issue: '1'
keyword:
- bootstrap
- asymptotic
- nonparametric
- parametric
- testing
language:
- iso: eng
page: 1-31
publication: STATISTICA SINICA
publication_identifier:
issn:
- 1017-0405
publication_status: published
publisher: STATISTICA SINICA
quality_controlled: '1'
status: public
title: 'Resampling fewer than n observations: Gains, losses, and remedies for losses'
type: journal_article
user_id: '89573'
volume: 7
year: '1997'
...