D-optimal joint best linear unbiased prediction of order statistics

In life-testing experiments, it is often of interest to predict unobserved future failure times based on observed early times. A point best linear unbiased predictor (BLUP) has been developed in this context by Kaminsky and Nelson (J Am Stat Assoc 70:145–150, 1975). article, we develop joint BLUPs two minimizing the determinant variance–covariance matrix predictors. The advantage applying prediction demonstrated using real data sets. non-existence certain setups also discussed.