Abstract
Suppose that the length of time in years for which a business operates until failure has a Pareto distribution. Let t
1
< t
2
< ··· < t
r
denote the survival lifetimes of the first r of a random sample of n businesses. Bayesian predictions are to be made on the ordered failure times of the remaining (n − r) businesses, using the conditional probability function. Numerical examples are given to illustrate our results.