Probability Matching Priors in Freund s Bivariate Exponential Model

In this paper, we develop the first order probability matching prior that are used for estimating the ratio of failure rates under Freund s bivariate exponential Model. The prior is found by matching the coverage probabilities of one-sided Baysian credible interval with the corresponding frequentist coverage probabilities. The propriety of posterior under the priors is proved. And the frequentist coverage probabilities are investigated for moderate samples via simulation study.