Goodness of fit test for isotonic regression

DOI10.1051/ps:2001105zbMath0990.62041OpenAlexW2120564791MaRDI QIDQ4534846

Cécile Durot, Anne-Sophie Tocquet

Publication date: 11 June 2002

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PS_2001__5__119_0

zbMATH Keywords

goodness of fit testasymptotic powerisotonic estimator

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Related Items (4)

High-dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under convex constraints ⋮ Limit theory in monotone function estimation ⋮ Goodness-of-Fit Test for Monotone Functions ⋮ Data-Driven Robust Resource Allocation with Monotonic Cost Functions

Cites Work

• Bandwidth choice for nonparametric regression
• An omnibus test for departures from constant mean
• Testing goodness-of-fit in regression via order selection criteria
• Comparing nonparametric versus parametric regression fits
• Nonparametric model checks for regression
• Sharp asymptotics for isotonic regression
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Estimation of a function under shape restrictions. Applications to reliability
• Asymptotically optimal difference-based estimation of variance in nonparametric regression
• On the Estimation of Parameters Restricted by Inequalities
• Testing the Goodness of Fit of a Linear Model Via Nonparametric Regression Techniques
• Diagnostics for Assessing Regression Models
• Kernel Regression When the Boundary Region is Large, With an Application to Testing the Adequacy of Polynomial Models
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