Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1145064 | Journal of the Korean Statistical Society | 2009 | 8 Pages |
Abstract
In this paper, we consider some noninformative priors for the common mean in a bivariate normal population. We develop the first-order and second-order matching priors and reference priors. We find that the second-order matching prior is also an HPD matching prior, and matches the alternative coverage probabilities up to the second order. It turns out that derived reference priors do not satisfy a second-order matching criterion. Our simulation study indicates that the second-order matching prior performs better than the reference priors in terms of matching the target coverage probabilities in a frequentist sense. We also illustrate our results using real data.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Dal Ho Kim, Sang Gil Kang, Woo Dong Lee,