Probability matching priors for some parameters of the bivariate normal distribution

Details Probability matching priors for some parameters of the bivariate normal distribution Probability matching priors for some parameters of the bivariate normal distribution

2008-05-21

arxiv.org/abs/0805.3204v1

IMS Collections 2008, Vol. 3, 71-81

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/074921708000000066 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/074921708000000066

This paper develops some objective priors for certain parameters of the bivariate normal distribution. The parameters considered are the regression coefficient, the generalized variance, and the ratio of the conditional variance of one variable given the other to the marginal variance of the other variable. The criterion used is the asymptotic matching of coverage probabilities of Bayesian credible intervals with the corresponding frequentist coverage probabilities. The paper uses various matching criteria, namely, quantile matching, matching of distribution functions, highest posterior density matching, and matching via inversion of test statistics. One particular prior is found which meets all the matching criteria individually for all the parameters of interest.

Affiliated with

Also associated with

No associations

Rating

Probability matching priors for some parameters of the bivariate normal distribution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probability matching priors for some parameters of the bivariate normal distribution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probability matching priors for some parameters of the bivariate normal distribution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289873