‎Prediction on the basis of censored data has an important role in lifetime studies‎. ‎This paper discusses Bayesian two-sample prediction of progressively first-failure-censored order statistics coming from a future sample based on observed $k$-record values from two-parameter Weibull distribution‎. ‎Bayesian interval predictions are obtained based on a continuous-discrete joint prior for the unknown two parameters‎. ‎Moreover‎, ‎the Bayesian point predictors are investigated under symmetric and asymmetric loss functions‎. ‎Finally‎, ‎the estimated risks of the various point predictors obtained are compared using the Monte Carlo method‎.

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