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- W4328110111 abstract "A desirable property of a kernel used for a density estimate is that it has high order as this gives low bias. Given a kernel K, a basis pj(z),j≥0, and q≥1, we show how to choose a=a0,…,aq−1′ such that K̂q(z)=K(z)∑j=0q−1ajpj(z) is a kernel of order at least q. a is given in terms of the mixed moments, EZjpk(Z). Some of the kernels involve the complex unit. A simulation study is performed to compare density estimates based on some of the proposed kernels to competitive ones including those in Withers and Nadarajah [1]. The proposed estimates are shown to have smaller biases and smaller mean squared errors." @default.
- W4328110111 created "2023-03-22" @default.
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- W4328110111 date "2023-09-01" @default.
- W4328110111 modified "2023-09-25" @default.
- W4328110111 title "New classes of density estimates of low bias" @default.
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- W4328110111 doi "https://doi.org/10.1016/j.cam.2023.115232" @default.
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