Multivariate logistic regression with incomplete covariate and auxiliary information

Maximum likelihood analysis of logistic regression models with incomplete covariate data and auxiliary information.

This article presents a new method for maximum likelihood estimation of logistic regression models with incomplete covariate data where auxiliary information is available. This auxiliary information is extraneous to the regression model of interest but predictive of the covariate with missing data. Ibrahim (1990, Journal of the American Statistical Association 85, 765-769) provides a general me...

Bayesian multivariate logistic regression.

Bayesian analyses of multivariate binary or categorical outcomes typically rely on probit or mixed effects logistic regression models that do not have a marginal logistic structure for the individual outcomes. In addition, difficulties arise when simple noninformative priors are chosen for the covariance parameters. Motivated by these problems, we propose a new type of multivariate logistic dis...

Statistical Inference for Regression Models with Covariate Measurement Error and Auxiliary Information.

We consider statistical inference on a regression model in which some covariables are measured with errors together with an auxiliary variable. The proposed estimation for the regression coefficients is based on some estimating equations. This new method alleates some drawbacks of previously proposed estimations. This includes the requirment of undersmoothing the regressor functions over the au...

@bullet @bullet @bullet Auxiliary Covariate Measurement Problem in Failure Time Regression Auxiliary Covariate Measurement Problem Failure Time Regression

SUMMARY • In • • • A semi-parametric method, Estimated Partial Likelihood(EPL) method, is proposed for the estimation of the relative risk parameters when auxiliary covariates are present. The asymptotic distribution theory is derived for the proposed estimator for the case in which the surrogate or mismeasured covariates are categorical. The asymptotic relative efficiency of the EPL estimator ...

Tutorial on Multivariate Logistic Regression