Local asymptotic minimax theory for block-decreasing densities |
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| Authors: | Marios G Pavlides |
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| Institution: | Centre for Statistical Science and Operational Research, Queen''s University Belfast, Belfast BT7 1NN, Northern Ireland, United Kingdom |
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| Abstract: | In this paper, we study Lebesgue densities on (0,∞)d that are non-increasing in each coordinate, while keeping all other coordinates fixed, from the perspective of local asymptotic minimax lower bound theory. In particular, we establish a local optimal rate of convergence of the order n−1/(d+2). |
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| Keywords: | Minimax Estimation Monotone Lower bound Block-decreasing Nonparametric |
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