A noninformative Bayesian approach to small area estimation

In small area estimation, one uses data from similar domains to estimate the mean in a particular small area. This borrowing of strength is justified by assuming a model that relates the small area means. Here, we suggest a non-informative or objective Bayesian approach to small area estimation. Using this approach, one can estimate population parameters other than means and find sensible estimates of their precision. AMS 1991 subject classifications Primary 62D05; secondary 62C10.