Inference on the reliability R = P(Y < X) in a Pareto distribution with a known scale parameter is considered. Point estimates and confidence intervals of R are obtained a test of hypothesis is also considered.
Ali, M. Masoom and Woo, Jungsoo
"Inference on (Y < X) in a Pareto Distribution,"
Journal of Modern Applied Statistical Methods:
2, Article 23.
Available at: http://digitalcommons.wayne.edu/jmasm/vol4/iss2/23