TY - JOUR
T1 - Minimax rate adaptive estimation over continuous hyper-parameters
AU - Yang, Y.
PY - 2001/7
Y1 - 2001/7
N2 - We study minimax-rate adaptive estimation for density classes indexed by continuous hyper-parameters. The classes are assumed to be partially ordered in terms of inclusion relationship. Under a mild condition on the minimax risks, we show that a minimax-rate adaptive estimator can be constructed for the classes.
AB - We study minimax-rate adaptive estimation for density classes indexed by continuous hyper-parameters. The classes are assumed to be partially ordered in terms of inclusion relationship. Under a mild condition on the minimax risks, we show that a minimax-rate adaptive estimator can be constructed for the classes.
KW - Adaptive density estimation
KW - Combining procedures
KW - Minimax-rate adaptation
UR - http://www.scopus.com/inward/record.url?scp=0035397536&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035397536&partnerID=8YFLogxK
U2 - 10.1109/18.930947
DO - 10.1109/18.930947
M3 - Article
AN - SCOPUS:0035397536
VL - 47
SP - 2081
EP - 2085
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
SN - 0018-9448
IS - 5
ER -