Bayesian prediction of k-record values based on progressively censored data from exponential distribution

Journal of Statistical Computation and Simulation (Impact Factor: 0.63). 01/2012; 82:51-62. DOI: 10.1080/00949655.2010.526609

ABSTRACT In this paper, based on a progressively Type-II right censored sample, we discuss the prediction of k-record values from a future sequence. By considering the parent distribution as exponential, we derive Bayesian prediction intervals as well as Bayesian point predictors for k-record values from a future sequence based on an observed progressively Type-II right censored sample. The corresponding results for ordinary Type-II censored sample and the usual order statistics are then deduced as special cases. A real data set concerning the breakdown times of an insulating fluid in an accelerated life-test is used for illustrating all the results developed here.