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- W2289530005 abstract "The determination of uncertainty of an estimate requires both the variance and the bias of the estimate. Calculating the variance of local polynomial approximation (LPA) estimates is straightforward. We present a method, using the Peano Kernel Theorem, to estimate the bias of LPA estimates and show how this can be used to optimize the LPA parameters in terms of the bias-variance tradeoff. Figures of merit are derived and values calculated for several common methods. The results in the literature are expanded by giving bias error bounds that are valid for all lengths of the smoothing interval, generalizing the currently available asymptotic results that are only valid in the limit as the length of this interval goes to zero." @default.
- W2289530005 created "2016-06-24" @default.
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- W2289530005 date "2013-04-01" @default.
- W2289530005 modified "2023-09-27" @default.
- W2289530005 title "Estimating the bias of local polynomial approximation methods using the Peano kernel" @default.
- W2289530005 doi "https://doi.org/10.1090/conm/586/11669" @default.
- W2289530005 hasPublicationYear "2013" @default.
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