Censored data are widely used in statistical tests and parameter estimation. In a type of survival data where it is not possible to measure the time of occurrence of an event, interval-censored data are used. In this paper, assuming that the interval-censored data are uniformly distributed on the interval (0,θ), a consistent estimator for θ is introduced. Then, an asymptotic confidence interval for the mean lifetime of a parallel system with components that have a uniform distribution is presented.
