Mathematics – Statistics Theory
Scientific paper
2009-07-27
Statistics Surveys 4 (2010) 40--79
Mathematics
Statistics Theory
Scientific paper
10.1214/09-SS054
Used to estimate the risk of an estimator or to perform model selection, cross-validation is a widespread strategy because of its simplicity and its apparent universality. Many results exist on the model selection performances of cross-validation procedures. This survey intends to relate these results to the most recent advances of model selection theory, with a particular emphasis on distinguishing empirical statements from rigorous theoretical results. As a conclusion, guidelines are provided for choosing the best cross-validation procedure according to the particular features of the problem in hand.
Arlot Sylvain
Celisse Alain
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