Test shape constraints in semiparametric model with Bernstein polynomials

DOI10.1080/03610918.2019.1699571OpenAlexW2995231602WikidataQ126584832 ScholiaQ126584832MaRDI QIDQ5083011

Ping Yu, Jianhua Ding

Publication date: 21 June 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2019.1699571

zbMATH Keywords

asymptotic propertiesBernstein polynomialssemiparametric modelslikelihood ratio statisticshape constrains test

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• bootlib

Cites Work

• A numerically stable dual method for solving strictly convex quadratic programs
• Nonparametric curve estimation with Bernstein estimates
• Semiparametric likelihood ratio inference
• A distribution-free theory of nonparametric regression
• Testing for monotonicity of a regression mean by calibrating for linear functions.
• Shape preserving representations and optimality of the Bernstein basis
• Shape restricted nonparametric regression with Bernstein polynomials
• Testing strict monotonicity in nonparametric regression
• Convex analysis in the semiparametric model with Bernstein polynomials
• Testing the monotonicity or convexity of a function using regression splines
• The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints
• Estimating Smooth Monotone Functions
• Asymptotic Statistics
• Tests for monotonicity of a regression mean with guaranteed level
• A variable selection approach to monotonic regression with Bernstein polynomials
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