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Cross-Validation and the Bootstrap: Estimating the Error Rate of a Prediction Rule (1995)  (Make Corrections)  (22 citations)
Bradley Efron, Robert Tibshirani



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Abstract: A training set of data has been used to construct a rule for predicting future responses. What is the error rate of this rule? The traditional answer to this question is given by cross-validation. The cross-validation estimate of prediction error is nearly unbiased, but can be highly variable. This article discusses bootstrap estimates of prediction error, which can be thought of as smoothed versions of cross-validation. A particular bootstrap method, the 632+ rule, is shown to substantially... (Update)

Context of citations to this paper:   More

.... 632 rule, a recently proposed improvement of the bootstrap method for assigning measures of accuracy to classification error estimates [3, 4]. The novel bootstrap rule had been successfully applied to develop non overfitting compact tree models in this medical and veterinary...

...may result in insu#cient training data for constructing the classifier. In this case, a method called leave one alone cross validation [65, 66] is used. All but one data item are used to build a classifier and the last one is withheld as testing data. Then it is repeated in a...

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12:   Bagging Predictors - Breiman
9:   An Introduction to the Bootstrap (context) - Efron, Tibshirani - 1993
7:   A study of cross-validation and bootstrap for accuracy estimation and model sele.. - Kohavi - 1995

BibTeX entry:   (Update)

B. Efron and R. Tibshirani. Cross-validation and the bootstrap: Estimating the error rate of a prediction rule. 1995. Technical Report (TR-477), Dept. of Statistics, Stanford University. http://citeseer.ist.psu.edu/47726.html   More

@misc{ efron95crossvalidation,
  author = "B. Efron and R. Tibshirani",
  title = "Cross-validation and the bootstrap: Estimating the error rate of a prediction
    rule",
  text = "B. Efron and R. Tibshirani. Cross-validation and the bootstrap: Estimating
    the error rate of a prediction rule. 1995. Technical Report (TR-477), Dept.
    of Statistics, Stanford University.",
  year = "1995",
  url = "citeseer.ist.psu.edu/47726.html" }
Citations (may not include all citations):
1262   Classification and Regression Trees (context) - Breiman, Friedman et al. - 1984
657   Bagging predictors - Breiman - 1994
546   An Introduction to the Bootstrap (context) - Efron, Tibshirani - 1993
258   Cross-validatory choice and assessment of statistical predic.. (context) - Stone - 1974
108   Bootstrap methods: another look at the jackknife (context) - Efron - 1979
107   Some comments on Cp (context) - Mallows - 1973
106   Discriminant Analysis and Statistical Pattern Recognition (context) - McLachlan - 1992
28   The predictive sample reuse method with applications (context) - Geisser - 1975
22   Cross-Validation and the Bootstrap: Estimating the Error Rat.. - Efron, Tibshirani - 1995
10   Bootstrap techniques for error estimation (context) - Jain, Dubes et al. - 1987
8   Training sequence size and vector quantizer performance (context) - Cosman, Perlmutter et al. - 1991
7   Submodel selection and evaluation in regression: the x-rando.. (context) - Breiman, Spector - 1992
6   Flexible metric nearest neighbour classification (context) - Friedman - 1994
5   Jackknife-after-bootstrap standard errors and influence func.. (context) - Efron - 1992
3   Spline bases, regularization, and generalized cross-validati.. (context) - Wahba - 1980
1   A study of cross-validation and bootstrap for accuracy asses.. (context) - Kohavi - 1995
1   Efficient bootstrap simulations (context) - Dawid, Hinkley et al. - 1986
1   Correction note to Application of bootstrap and other esampl.. (context) - Chernick, Murthy et al. - 1986
1   Application of bootstrap and other resampling methods: evalu.. (context) - Chernick, Murthy et al. - 1985



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