Edgeworth expansions for the conditional distributions in logistic regression models

DOI10.1016/0378-3758(95)00106-9zbMath0846.62017OpenAlexW2077937561MaRDI QIDQ1918224

Bruce R. Levin, Fan Hui Kong

Publication date: 5 September 1996

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

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00106-9

zbMATH Keywords

characteristic functionEdgeworth expansionslogistic regression modelsconditional distributions of sufficient statisticsconditional maximum likelihood estimators of log odds ratiospolytomous outcomes

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Generalized linear models (logistic models) (62J12) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (2)

Accurate confidence intervals in regression analyses of non-normal data ⋮ Second-order accurate inference on eigenvalues of covariance and correlation matrices

Uses Software

• AS 196

Cites Work

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• An Edgeworth expansion for simple linear rank statistics under the null- hypothesis
• On Edgeworth expansions in the mixture cases
• Edgeworth expansion of a function of sample means
• Asymptotic expansions for the power of distribution free tests in the one-sample problem
• Asymptotic expansions for the power of distributionfree tests in the two- sample problem
• An asymptotic expansion for samples from a finite population
• On the validity of the formal Edgeworth expansion
• Bartlett's bias correction to the profile score function is a saddlepoint correction
• Asymptotic Approximations to Distributions
• On information and ancillarity in the presence of a nuisance parameter
• Logistic disease incidence models and case-control studies
• Approximations for densities of sufficient estimators
• Some results on the estimation of logistic models based on retrospective data
• Algorithm AS 162: Multivariate Conditional Logistic Analysis of Stratum- Matched Case-Control Studies
• Retrospective studies and failure time models
• The saddlepoint correction in conditional logistic likelihood analysis
• On methods of asymptotic approximation for multivariate distributions

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