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BAYESIAN INFERENCE FOR FIELLER-CREASY PROBLEM USING UNBALANCED DATA  

Lee, Woo-Dong (Department of Asset Management, Daegu Haany University)
Kim, Dal-Ho (Department of Statistics, Kyungpook National University)
Kang, Sang-Gil (Department of Applied Statistics, Sangji University)
Publication Information
Journal of the Korean Statistical Society / v.36, no.4, 2007 , pp. 489-500 More about this Journal
Abstract
In this paper, we consider Bayesian approach to the Fieller-Creasy problem using noninformative priors. Specifically we extend the results of Yin and Ghosh (2000) to the unbalanced case. We develop some noninformative priors such as the first and second order matching priors and reference priors. Also we prove the posterior propriety under the derived noninformative priors. We compare these priors in light of how accurately the coverage probabilities of Bayesian credible intervals match the corresponding frequentist coverage probabilities.
Keywords
Fieller-Creasy problem; matching prior; ratio of normal means; reference prior; unbalanced data;
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