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- W4297823276 abstract "We prove the asymptotic normality of the kernel density estimator (introduced by Rosenblatt (1956) and Parzen (1962)) in the context of stationary strongly mixing random fields. Our approach is based on the Lindeberg's method rather than on Bernstein's small-block-large-block technique and coupling arguments widely used in previous works on nonparametric estimation for spatial processes. Our method allows us to consider only minimal conditions on the bandwidth parameter and provides a simple criterion on the (non-uniform) strong mixing coefficients which do not depend on the bandwith." @default.
- W4297823276 created "2022-10-01" @default.
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- W4297823276 date "2010-08-07" @default.
- W4297823276 modified "2023-10-18" @default.
- W4297823276 title "Asymptotic normality of the Parzen-Rosenblatt density estimator for strongly mixing random fields" @default.
- W4297823276 doi "https://doi.org/10.48550/arxiv.1008.1342" @default.
- W4297823276 hasPublicationYear "2010" @default.
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