Minimax Estimation of a Bounded Squared Mean

نویسندگان

  • Jianqing Fan
  • Irene Gijbels
چکیده

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.

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تاریخ انتشار 2008