Higher-order approximate confidence intervals

DOI10.1016/j.jspi.2020.11.013zbMath1465.62086arXiv1811.11031OpenAlexW3110984560MaRDI QIDQ830725

Silvia L. P. Ferrari, Francisco M. C. Medeiros, Eliane C. Pinheiro

Publication date: 7 May 2021

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

Full work available at URL: https://arxiv.org/abs/1811.11031

zbMATH Keywords

nuisance parametersmaximum likelihood estimatesregression modelsaccurate confidence intervalsmodified score equations

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Applications of statistics to social sciences (62P25) Nonparametric tolerance and confidence regions (62G15)

Uses Software

• R
• Ox
• betareg
• likelihoodAsy

Cites Work

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• Beta Regression for Modelling Rates and Proportions
• Log-symmetric distributions: statistical properties and parameter estimation
• Graphical methods for investigating the finite-sample properties of confidence regions
• On bootstrap and analytical bias corrections
• The likelihood ratio criterion and the asymptotic expansion of its distribution
• Bootstrap confidence intervals. With comments and a rejoinder by the authors
• Tensors and likelihood expansions in the presence of nuisance parameters
• Gradient statistic: higher-order asymptotics and Bartlett-type correction
• An introduction to Bartlett correction and bias reduction
• A semiparametric approach for joint modeling of median and skewness
• Bias prevention of maximum likelihood estimates for scalar skew normal and skew \(t\) distribu\-tions
• Likelihood Asymptotics
• ROUTES TO HIGHER-ORDER ACCURACY IN PARAMETRIC INFERENCE
• Tensor notation and cumulants of polynomials
• A GENERAL METHOD FOR APPROXIMATING TO THE DISTRIBUTION OF LIKELIHOOD RATIO CRITERIA
• A modified score test statistic having chi-squared distribution to order n⁻¹
• Bias reduction of maximum likelihood estimates
• Median bias reduction of maximum likelihood estimates
• Improved Score Tests in Symmetric Linear Regression Models
• APPROXIMATE CONFIDENCE INTERVALS
• Modern Likelihood‐Frequentist Inference