On testing a class of restricted hypotheses

DOI10.1016/j.jspi.2006.04.006zbMath1107.62027OpenAlexW2029095148MaRDI QIDQ872091

Jean-Louis Foulley, Céline Delmas

Publication date: 27 March 2007

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.2006.04.006

zbMATH Keywords

conelikelihood ratio testprojectionscore testrestricted hypothesisRice method

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Parametric inference under constraints (62F30) Asymptotic properties of parametric tests (62F05)

Cites Work

• Unnamed Item
• Projections on cones, chi-bar squared distributions, and Weyl's formula
• Weights of \(\overline{\chi}^2\) distribution for smooth or piecewise smooth cone alternatives
• Projections on spherical cones, maximum of Gaussian fields and Rice's method.
• Asymptotic expansions for the distribution of the maximum of Gaussian random fields
• Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard Conditions
• Testing linear hypotheses under restricted alternatives
• Asymptotic Properties of Maximum Likelihood Estimators in Some Nonstandard Cases
• On the Distribution of the Likelihood Ratio
• Mathematical Analysis of Random Noise

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