limiting properties of empirical bayes estimators in a two-factor experiment under inverse gaussian model
نویسندگان
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.
منابع مشابه
Limiting Properties of Empirical Bayes Estimators in a Two-Factor Experiment under Inverse Gaussian Model
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 ill...
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عنوان ژورنال:
journal of sciences islamic republic of iranجلد ۱۵، شماره ۳، صفحات ۰-۰
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