University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 15 3 2004 09 01 Limiting Properties of Empirical Bayes Estimators in a Two-Factor Experiment under Inverse Gaussian Model - 31607 EN Journal Article The empirical Bayes estimators of treatment effects in a factorial experiment were derived and their asymptotic properties were explored. It was shown that they were asymptotically optimal and the estimator of the scale parameter had a limiting gamma distribution while the estimators of the factor effects had a limiting multivariate normal distribution. A Bootstrap analysis was performed to illustrate the theoretical results empirically. https://jsciences.ut.ac.ir/article_31607_a71f9f47d27e10623154025319152a82.pdf