Statistical Science
- Statist. Sci.
- Volume 1, Number 1 (1986), 54-75.
Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy
Abstract
This is a review of bootstrap methods, concentrating on basic ideas and applications rather than theoretical considerations. It begins with an exposition of the bootstrap estimate of standard error for one-sample situations. Several examples, some involving quite complicated statistical procedures, are given. The bootstrap is then extended to other measures of statistical accuracy such as bias and prediction error, and to complicated data structures such as time series, censored data, and regression models. Several more examples are presented illustrating these ideas. The last third of the paper deals mainly with bootstrap confidence intervals.
Article information
Source
Statist. Sci. Volume 1, Number 1 (1986), 54-75.
Dates
First available in Project Euclid: 19 April 2007
Permanent link to this document
http://projecteuclid.org/euclid.ss/1177013815
Digital Object Identifier
doi:10.1214/ss/1177013815
Mathematical Reviews number (MathSciNet)
MR833275
Zentralblatt MATH identifier
0587.62082
JSTOR
links.jstor.org
Keywords
Bootstrap method estimated standard errors approximate confidence intervals nonparametric methods
Citation
Efron, B.; Tibshirani, R. Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy. Statist. Sci. 1 (1986), no. 1, 54--75. doi:10.1214/ss/1177013815. http://projecteuclid.org/euclid.ss/1177013815.
See also
- See Comment: J. A. Hartigan. [Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy]: Comment. Statist. Sci., Volume 1, Number 1 (1986), 75--77.Project Euclid: euclid.ss/1177013816
- See Comment: B. Efron, R. Tibshirani. [Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy]: Rejoinder. Statist. Sci., Volume 1, Number 1 (1986), 77--77.Project Euclid: euclid.ss/1177013817
