Bayesian Approach to the Prediction Problem in the Exponential Population

There are s samples available, each from an exponential population. Procedure for predicting any order statistic in the (s + 1)-th sample is developed by obtaining the predictive distribution at stage s. Bounds for the sample size at stage s, in order to have the variance at stage s less than that at stage s-1, are obtained. An illustrative example of actual prediction uses simulated samples. Results of earlier works on prediction are compared with the results here.