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Limiting Properties of Empirical Bayes Estimators in a Two-Factor Experiment under Inverse Gaussian Model | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 9، دوره 15، شماره 3، آذر 2004 اصل مقاله (266.21 K) | ||
چکیده | ||
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. | ||
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