On Confidence Intervals Associated With the Usual and Adjusted Likelihoods

DOI10.1111/1467-9868.00212zbMath0940.62026OpenAlexW2033889056MaRDI QIDQ4935294

Rahul Mukerjee, Nancy Reid

Publication date: 17 July 2000

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9868.00212

zbMATH Keywords

likelihood ratio statisticspoint estimationBartlett correctionparameter orthogonalityhighest posterior density regionsexpected lengths

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25)

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Noninformative priors for the ratio of variabilities in a bivariate normal population ⋮ Likelihood-based inference for the ratios of regression coefficients in linear models ⋮ Asymptotic results on a general class of empirical statistics: Power and confidence interval properties ⋮ Confidence intervals based on empirical statistics: existence of a probability matching prior and connection with frequentist Bartlett adjustability ⋮ On interval and point estimators based on a penalization of the modified profile likelihood ⋮ Bayesian and frequentist confidence intervals via adjusted likelihoods under prior specification on the interest parameter ⋮ Interval estimation of the population mean under model uncertainty: Robust versus empirical statistics ⋮ Probability matching property of adjusted likelihoods ⋮ Non-informative priors for the inverse Weibull distribution ⋮ On confidence intervals associated with quasi-likelihood

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