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Minimax estimation of a bounded squared mean

Authors :
Irène Gijbels
Jianqing Fan
Source :
Statistics & Probability Letters. 13:383-390
Publication Year :
1992
Publisher :
Elsevier BV, 1992.

Abstract

Consider a normal model with unknown mean bounded by a known constant. This paper deals with minimax estimation of the squared mean. We establish an expression for the asymptotic minimax risk. This result is applied in nonparametric estimation of quadratic functionals.

Details

ISSN :
01677152
Volume :
13
Database :
OpenAIRE
Journal :
Statistics & Probability Letters
Accession number :
edsair.doi...........60f8d98d84c5b71135c5f1650959d835