On information pooling, adaptability and superefficiency in nonparametric function estimation
نویسندگان
چکیده
منابع مشابه
On Information Pooling, Adaptability And Superefficiency in Nonparametric Function Estimation
The connections between information pooling and adaptability as well as superefficiency are considered. Separable rules, which figure prominently in wavelet and other orthogonal series methods, are shown to lack adaptability; they are necessarily not rate-adaptive. A sharp lower bound on the cost of adaptation for separable rules is obtained. We show that adaptability is achieved through inform...
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It is well known that it is possible to achieve adaptation for “free” in function estimation under a global loss. It is unclear, however, why and how the adaptability is achieved. In this article we show that adaptability is achieved through information pooling. It is first shown that separable rules, which figure prominently in wavelet and other orthogonal series methods, lack adaptability; th...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2008
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2006.11.010