Admissibility and minimaxity of the uniform design measure in nonparametric regression model

DOI10.1016/S0378-3758(99)00089-0zbMath0942.62081OpenAlexW1999542471MaRDI QIDQ1969140

Minyu Xie, Kai-Tai Fang

Publication date: 24 August 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(99)00089-0

zbMATH Keywords

uniform designapproximately linear modeladmissible minimaxityuniform design measure

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Optimal statistical designs (62K05) Design of statistical experiments (62K99) Admissibility in statistical decision theory (62C15)

Related Items (6)

Optimum addition of information to computer experiments in view of uniformity and orthogonality ⋮ Wavelet designs for estimating nonparametric curves with heteroscedastic error ⋮ Mixed-level column augmented uniform designs ⋮ Nearly uniform design construction on flexible region ⋮ Maximin power designs in testing lack of fit ⋮ Model-robust designs in multiresponse situations.

Cites Work

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• Designs for approximately linear regression: Two optimality properties of uniform designs
• Lattices and dual lattices in optimal experimental design for Fourier models.
• Optimum designs for multi-factor models

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