The mixture of Type-I and Type-II censoring schemes, called the hybrid censoring scheme is quite common in life-testing or reliability experiments. Recently Type-II progressive censoring scheme becomes quite popular for analyzing highly reliable data. One drawback of the Type-II progressive censoring scheme is that the length of the experiment can be quite large. In this paper we introduce a Ty...

Fine and Gray (1999) suggested a Cox model for the subdistribution hazard, which is the hazard attached to the cumulative incidence function of interest in a competing risks setting. They also noted that standard Cox software may be used to fit the model provided that the potential censoring times are known for individuals observed to experience a competing event (‘censoring complete data’) and...

We investigate the use of follow-up samples of individuals to estimate survival curves from studies that are subject to right censoring from two sources: (i) early termination of the study, namely, administrative censoring, or (ii) censoring due to lost data prior to administrative censoring, so-called dropout. We assume that, for the full cohort of individuals, administrative censoring times a...

Maximum likelihood estimation of a censored autoregressive model with exogenous variables (CARX) requires computing the conditional likelihood of blocks of data of variable dimensions. As the random block dimension generally increases with the censoring rate, maximum likelihood estimation becomes quickly numerically intractable with increasing censoring. We introduce a new estimation approach u...

Recently Jammalamadaka and Mangalam (2003) introduced a general censoring scheme called the “middle-censoring” scheme in non-parametric set up. In this paper we consider this middle censoring scheme when the lifetime distribution of the items are exponentially distributed and the censoring mechanism is independent and non-informative. In this set up, we derive the maximum likelihood estimator a...

Modern cancer treatments have substantially improved cure rates and have generated a great interest in and need for proper statistical tools to analyze survival data with non-negligible cure fractions. Data with cure fractions are often complicated by dependent censoring, and the analysis of this type of data typically involves untestable parametric assumptions on the dependence of the censorin...

Computer-held information is increasingly shared between general practice and hospitals and with the provisions of the Data Protection Act now in operation, the practical issues of disclosure to patients need to be reviewed. Patients attending diabetic clinics at University Hospital, Nottingham, are routinely issued with a copy of their computerheld record but a previous study showed a high lev...

Competing risks data usually arises in studies in which the death or failure of an individual or an item may be classified into one of T≥2 mutually exclusive causes. In this paper, we will study the competing risks model when the data is progressively first-failure-censored. Based on this type of censoring, we derive the maximum likelihood estimators (MLE's) for the unknown parameters. Approxim...