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• W2058203079 abstract "Various consistency proofs for the kernel density estimator have been developed over the last few decades. Important milestones are the pointwise consistency and almost sure uniform convergence with a fixed bandwidth on the one hand and the rate of convergence with a fixed or even a variable bandwidth on the other hand. While considering global properties of the empirical distribution functions is sufficient for strong consistency, proofs of exact convergence rates use deeper information about the underlying empirical processes. A unifying character, however, is that earlier and more recent proofs use bounds on the probability that a sum of random variables deviates from its mean." @default.
• W2058203079 created "2016-06-24" @default.
• W2058203079 creator A5033854668 @default.
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• W2058203079 date "2010-06-13" @default.
• W2058203079 modified "2023-10-18" @default.
• W2058203079 title "Consistency of the kernel density estimator: a survey" @default.
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• W2058203079 doi "https://doi.org/10.1007/s00362-010-0338-1" @default.
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