期刊
JOURNAL OF NONPARAMETRIC STATISTICS
卷 27, 期 2, 页码 167-179出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/10485252.2015.1010532
关键词
cross-validation; model selection; model averaging
资金
- National Institute of Health [R01GM080503, R01CA158113, CCSG P30 CA016672, 5U24CA086368-15]
Cross-validation (CV) type of methods have been widely used to facilitate model estimation and variable selection. In this work, we suggest a new K-fold CV procedure to select a candidate 'optimal' model from each hold-out fold and average the K candidate 'optimal' models to obtain the ultimate model. Due to the averaging effect, the variance of the proposed estimates can be significantly reduced. This new procedure results in more stable and efficient parameter estimation than the classical K-fold CV procedure. In addition, we show the asymptotic equivalence between the proposed and classical CV procedures in the linear regression setting. We also demonstrate the broad applicability of the proposed procedure via two examples of parameter sparsity regularisation and quantile smoothing splines modelling. We illustrate the promise of the proposed method through simulations and a real data example.
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