On the Distributional Properties of Model Selection Criteria
作者:
Ping Zhang,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1992)
卷期:
Volume 87,
issue 419
页码: 732-737
ISSN:0162-1459
年代: 1992
DOI:10.1080/01621459.1992.10475275
出版商: Taylor & Francis Group
关键词: Grouped cross-validation;Model selection;Random walk
数据来源: Taylor
摘要:
It is commonly accepted that statistical modeling should follow the parsimony principle; namely, that simple models should be given priority whenever possible. But little quantitative knowledge is known concerning the amount of penalty (for complexity) regarded as allowable. We try to understand the parsimony principle in the context of model selection. In particular, the generalized final prediction error criterion is considered, and we argue that the penalty term should be chosen between 1.5 and 5 for most practical situations. Applying our results to the cross-validation criterion, we obtain insights into how the partition of data should be done. We also discuss the small sample performance of our methods.
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