Minimax estimation of a bounded squared mean
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.
Year of publication: |
1992
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Authors: | Fan, Jianqing ; Gijbels, Irène |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 13.1992, 5, p. 383-390
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Publisher: |
Elsevier |
Keywords: | Bayes risk Gaussian white noise model hardest 1-dimensional subproblems minimax risk normal mean quadratic functionals |
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