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- W2148243855 abstract "Let $f_{n,h}$ be a kernel density estimator of a continuous and bounded $d$-dimensional density $f$. Let $psi(t)$ be a positive continuous function such that $|psi f^beta| _infty < infty$ for some $0< beta < 1/2$. We are interested in the rate of consistency of such estimators with respect to the weighted sup-norm determined by $psi$. This problem has been considered by Gin, Koltchinskii and Zinn (2004) for a deterministic bandwidth $h_n$. We provide ``uniform in $h$'' versions of some of their results, allowing us to determine the corresponding rates of consistency for kernel density estimators where the bandwidth sequences may depend on the data and/or the location." @default.
- W2148243855 created "2016-06-24" @default.
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- W2148243855 date "2006-01-01" @default.
- W2148243855 modified "2023-09-25" @default.
- W2148243855 title "Weighted uniform consistency of kernel density estimators with general bandwidth sequences" @default.
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- W2148243855 doi "https://doi.org/10.1214/ejp.v11-354" @default.
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