Estimation of Regression Function for Nonequispaced Samples Based on Warped Wavelets
نویسندگان
چکیده
منابع مشابه
Regression in random design and warped wavelets
We consider the problem of estimating an unknown function f in a regression setting with random design. Instead of expanding the function on a regular wavelet basis, we expand it on the basis {ψjk(G), j, k} warped with the design. This allows to perform a very stable and computable thresholding algorithm. We investigate the properties of this new basis. In particular, we prove that if the desig...
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Abstract: The estimation of an unknown cumulative distribution function in the interval censoring “case 1” model from dependent sequences is considered. We construct a new adaptive estimator based on a warped wavelet basis and a hard thresholding rule. Under mild assumptions on the parameters of the model, considering the L2 risk and the weighted Besov balls, we prove that the estimator attains...
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ژورنال
عنوان ژورنال: Open Journal of Statistics
سال: 2016
ISSN: 2161-718X,2161-7198
DOI: 10.4236/ojs.2016.61008