A geometric look at nuisance parameter effect of local powers in testing hypothesis

DOI10.1007/BF00118634zbMath0782.62024MaRDI QIDQ1207628

Shinto Eguchi

Publication date: 1 April 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

curvature tensorlikelihood rationuisance parameterslocal alternativeslocation-scale familylocal orthogonalitycomposite null hypothesisdecomposition of local powerefficient scores test statisticslocal unbiasvariance coefficient

Mathematics Subject Classification ID

Asymptotic properties of parametric tests (62F05)

Related Items (3)

On local power properties of the LR, Wald, score and gradient tests in nonlinear mixed-effects models ⋮ Second-Order Powers of a Class of Tests in the Presence of a Nuisance Parameter ⋮ On preferred point geometry in statistics

Cites Work

• Unnamed Item
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• A differential geometric approach to statistical inference on the basis of contrast functionals
• Fundamental equations for statistical submanifolds with applications to the Bartlett correction
• Second order efficiency of minimum contrast estimators in a curved exponential family
• Asymptotic nonnull distributions of certain test criteria for a covariance matrix
• Invariants and likelihood ratio statistics
• Differential-geometrical methods in statistics
• Asymptotic non-null distributions of the likelihood ratio criteria for covariance matrix under local alternatives
• Geometrical theory of higher-order asymptotics of test, interval estimator and conditional inference
• The local power of the efficient scores test statistic
• The likelihood ratio criterion for a composite hypothesis under a local alternative
• Likelihood ratio and associated test criteria

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