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Lower bounds in estimation at a point under multi-index constraint

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  • Serdyukova, Nora

Abstract

In the framework of nonparametric anisotropic multivariate function estimation we study the lower bounds for the minimax risk. It is shown that the multi-index assumption leads to new minimax lower bounds containing a logarithmic factor.

Suggested Citation

  • Serdyukova, Nora, 2018. "Lower bounds in estimation at a point under multi-index constraint," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 183-189.
    • Handle: RePEc:eee:stapro:v:138:y:2018:i:c:p:183-189
    DOI: 10.1016/j.spl.2018.02.062
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    References listed on IDEAS

    as
    1. Chagny, Gaëlle & Roche, Angelina, 2016. "Adaptive estimation in the functional nonparametric regression model," Journal of Multivariate Analysis, Elsevier, vol. 146(C), pages 105-118.
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