Please use this identifier to cite or link to this item: https://doi.org/10.1111/j.1467-9868.2008.00693.x
Title: Shrinkage tuning parameter selection with a diverging number of parameters
Authors: Wang, H.
Li, B.
Leng, C. 
Keywords: Bayesian information criterion
Diverging number of parameters
Lasso
Smoothly clipped absolute deviation
Issue Date: Jun-2009
Citation: Wang, H., Li, B., Leng, C. (2009-06). Shrinkage tuning parameter selection with a diverging number of parameters. Journal of the Royal Statistical Society. Series B: Statistical Methodology 71 (3) : 671-683. ScholarBank@NUS Repository. https://doi.org/10.1111/j.1467-9868.2008.00693.x
Abstract: Contemporary statistical research frequently deals with problems involving a diverging number of parameters. For those problems, various shrinkage methods (e.g. the lasso and smoothly clipped absolute deviation) are found to be particularly useful for variable selection. Nevertheless, the desirable performances of those shrinkage methods heavily hinge on an appropriate selection of the tuning parameters. With a fixed predictor dimension, Wang and co-worker have demonstrated that the tuning parameters selected by a Bayesian information criterion type criterion can identify the true model consistently. In this work, similar results are further extended to the situation with a diverging number of parameters for both unpenalized and penalized estimators. Consequently, our theoretical results further enlarge not only the scope of applicabilityation criterion type criteria but also that of those shrinkage estimation methods. © 2008 Royal Statistical Society.
Source Title: Journal of the Royal Statistical Society. Series B: Statistical Methodology
URI: http://scholarbank.nus.edu.sg/handle/10635/105363
ISSN: 13697412
DOI: 10.1111/j.1467-9868.2008.00693.x
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