Consistency and power in tests with shape-restricted alternatives

DOI10.1016/j.jspi.2005.04.001zbMath1103.62035OpenAlexW2087874363MaRDI QIDQ2500647

Mary C. Meyer

Publication date: 17 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2005.04.001

zbMATH Keywords

likelihood ratio testpowereffective dimensionconsistent estimationmonotone regressionconvex regression

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Parametric inference under constraints (62F30) Exact distribution theory in statistics (62E15) Asymptotic properties of parametric tests (62F05)

Related Items (4)

Representation theorem for convex nonparametric least squares ⋮ A penalized method for multivariate concave least squares with application to productivity analysis ⋮ Approximating optimization problems over convex functions ⋮ Penalized isotonic regression

Cites Work

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• Unbiased tests for normal order restricted hypotheses
• An extension of the mixed primal-dual bases algorithm to the case of more constraints than dimensions
• Consistency in concave regression
• Constructing tests for normal order-restricted inference
• On consistency in monotonic regression
• A test for linear versus convex regression function using shape-restricted regression

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