This paper analyses a case in censored failure time data problems where some observations are potentially censored. The traditional models for failure time data implicitly assume that the censoring status for each observation is deterministic. Therefore, they cannot be applied directly to the potentially censored data. We propose an estimator that uses resampling techniques to approximate censo...

The quasi-Lindley distribution is a flexible model useful in reliability analysis, management science, and engineering analysis. In this paper, an expectation-maximization (EM) algorithm was applied to estimate the parameters of for uncensored right-censored data. Simulation studies show that estimates EM perform better than maximum likelihood (MLEs) both censored illustrative example, waiting ...

A censored variable has a large fraction of observations at the minimum or maximum. Because the censored variable is not observed over its entire range ordinary estimates of the mean and variance of a censored variable will be biased. Ordinary least squares (OLS) estimates of its regression on a set of explanatory variables will also be biased. These estimates are not consistent, i.e., the bias...

SUMMARY Interval-censored life-history data arise when the events of interest are only detectable at periodic assessments. When interest lies in the occurrence of two such events, bivariate-interval censored event time data are obtained. We describe how to fit a four-state Markov model useful for characterizing the association between two interval-censored event times when the assessment times ...

Survival analysis has been a major research area in statistics. In survival analysis, time to some event is usually the outcome variable. The objective of a survival study is to identify the relationship between treatments, risk factors or other covariates and the time to event. However, in a real clinical trial or longitudinal study, the exact time to event for each participant is not always k...

Spatial environmental data sometimes include below detection limit observations (i.e. censored values reported as less than a level of detection). Historically, the most common practice for analysis of such data has been to replace the censored observations with some function of the level of detection (LOD), like LOD/2. We show that estimates and standard errors found using this single substitu...

A Bayesian survival analysis is presented to examine the effect of fluoride-intake on the time to caries development of the permanent first molars in children between 7 and 12 years of age using a longitudinal study conducted in Flanders. Three problems needed to be addressed. Firstly, since the emergence time of a tooth and the time it experiences caries were recorded yearly, the time to carie...

The purpose of this paper is to derive the predictive inference for future responses from the compound Rayleigh model based on censored samples. The predictive density for a single future response, ith future response, and m future responses are derived on the basis of a type II as well as doubly censored sample. Two numerical examples are considered to illustrate the results. First example dea...

Consider the model in which the data consist of possibly censored lifetimes, and one puts a mixture of Dirichlet process priors on the common survival distribution. The exact computation of the posterior distribution of the survival function is in general impossible to obtain. This paper develops and compares the performance of several simulation techniques, based on Markov chain Monte Carlo an...