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October 2016 Peter Hall’s contributions to nonparametric function estimation and modeling
Ming-Yen Cheng, Jianqing Fan
Ann. Statist. 44(5): 1837-1853 (October 2016). DOI: 10.1214/16-AOS1490


Peter Hall made wide-ranging and far-reaching contributions to nonparametric modeling. He was one of the leading figures in the developments of nonparametric techniques with over 300 published papers in the field alone. This article gives a selective overview on the contributions of Peter Hall to nonparametric function estimation and modeling. The focuses are on density estimation, nonparametric regression, bandwidth selection, boundary corrections, inference under shape constraints, estimation of residual variances, analysis of wavelet estimators, multivariate regression and applications of nonparametric methods.


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Ming-Yen Cheng. Jianqing Fan. "Peter Hall’s contributions to nonparametric function estimation and modeling." Ann. Statist. 44 (5) 1837 - 1853, October 2016.


Received: 1 June 2016; Published: October 2016
First available in Project Euclid: 12 September 2016

zbMATH: 1349.62008
MathSciNet: MR3546434
Digital Object Identifier: 10.1214/16-AOS1490

Primary: 62G07 , 62G08 , 62G10 , 62G20

Keywords: bandwidth , Boundary , cross-validation , Density , Edge , endpoints , exponent , Fractal , local linear , mode estimator , nonparametric , Projection pursuit , regression , smoothing parameter , tilting , trigonometric , variance function

Rights: Copyright © 2016 Institute of Mathematical Statistics


Vol.44 • No. 5 • October 2016
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