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