Approximate Nonparametric Maximum Likelihood Estimation for Interval Censoring Model Case II (Running Head: NPMLE for Interval Censoring Case II)

Cure - rate estimation under Case - 1 interval censoring Running title : Cure - rate under interval censoring

We consider nonparametric estimation of cure-rate based on mixture model under Case-1 interval censoring. We show that the nonparametric maximum-likelihood estimator (NPMLE) of cure-rate is non-unique as well as inconsistent , and propose two estimators based on the NPMLE of the distribution function under this censoring model. We present a cross-validation method for choosing a 'cut-off' point...

Tracking Interval for Type II Hybrid Censoring Scheme

The purpose of this paper is to obtain the tracking interval for difference of expected Kullback-Leibler risks of two models under Type II hybrid censoring scheme. This interval helps us to evaluate proposed models in comparison with each other. We drive a statistic which tracks the difference of expected Kullback–Leibler risks between maximum likelihood estimators of the distribution in two diff...

Interval Censoring , Case 2 : Alternative Hypotheses Jon

Cumulative distribution function estimation under interval censoring case 1

We consider projection methods for the estimation of cumulative distribution function under interval censoring, case 1. Such censored data also known as current status data, arise when the only information available on the variable of interest is whether it is greater or less than an observed random time. Two types of adaptive estimators are investigated. The first one is a two-step estimator b...

Efficient Estimation for the Cox Model with Interval Censoring

The maximum likelihood estimator (MLE) for the proportional hazards model with current status data is studied. It is shown that the MLE for the regression parameter is asymptotically normal with vn-convergence rate and achieves the information bound, even though the MLE for the baseline cumulative hazard function only converges at nI/3 rate. Estimation of the asymptotic variance matrix for the ...