Maximum Likelihood Estimation with Partially Censored Data

Maximum likelihood estimation in semiparametric regression models with censored data

Semiparametric regression models play a central role in formulating the effects of covariates on potentially censored failure times and in the joint modelling of incomplete repeated measures and failure times in longitudinal studies. The presence of infinite dimensional parameters poses considerable theoretical and computational challenges in the statistical analysis of such models. We present ...

Nonparametric maximum likelihood estimation for bivariate censored data

We study the behavior of the (nonparametric) maximum likelihood estimator (MLE) for bivariate censored data. The motivation for doing this was triggered by our interest in the problem of estimating the incubation time distribution of HIV/AIDS. We study the computational and algorithmic aspects of the MLE for bivariate interval censored data, and introduce an algorithm for computing the MLE whic...

Bayesian and Iterative Maximum Likelihood Estimation of the Coefficients in Logistic Regression Analysis with Linked Data

This paper considers logistic regression analysis with linked data. It is shown that, in logistic regression analysis with linked data, a finite mixture of Bernoulli distributions can be used for modeling the response variables. We proposed an iterative maximum likelihood estimator for the regression coefficients that takes the matching probabilities into account. Next, the Bayesian counterpart...

A General Asymptotic Theory for Maximum Likelihood Estimation in Semiparametric Regression Models with Censored Data.

We establish a general asymptotic theory for nonparametric maximum likelihood estimation in semiparametric regression models with right censored data. We identify a set of regularity conditions under which the nonparametric maximum likelihood estimators are consistent, asymptotically normal, and asymptotically efficient with a covariance matrix that can be consistently estimated by the inverse ...

Maximum Scored Likelihood Estimation of a Linear Regression Model with Interval Censored Data