Prediction for Lindley Distribution Based on Type-II Right Censored Samples

ýLindley distribution has received considerable attention in the statistical literature due to its simplicityý. ýIn this paperý, ýwe consider the problem of predicting the failure times of experimental units that are censored in a right-censored experiment when the underlying lifetime is Lindley distributedý. ýThe maximum likelihood predictorý, ýthe best unbiased predictor and the conditional median predictor are derivedý. ýPrediction intervals based on these predictors are consideredý. ýWe further propose two resampling-based procedures for obtaining the prediction intervalsý. ýA numerical example is used to illustrate the methodology developed in this paperý. ýFinallyý, ýa Monte Carlo simulation study is employed to evaluate the performance of different prediction methodsý.