LIMITING PROPERTIES OF EMPIRICAL BAYES ESTIMATORS IN A TWO-FACTOR EXPERIMENT UNDER INVERSE GAUSSIAN MODEL

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MESHKANI M.R.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2004 | Volume:15 | Issue:3 Page(s): 269-275

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Information Journal Paper

Title

LIMITING PROPERTIES OF EMPIRICAL BAYES ESTIMATORS IN A TWO-FACTOR EXPERIMENT UNDER INVERSE GAUSSIAN MODEL

Author(s)

MESHKANI M.R. | Issue Writer Certificate

Keywords

BAYES AND EMPIRICAL BAYES PROCEDURES; BOOTSTRAP; FACTORIAL EXPERIMENTS; INVERSE GAUSSIANQ4

Abstract

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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APA: Copy

MESHKANI, M.R.. (2004). LIMITING PROPERTIES OF EMPIRICAL BAYES ESTIMATORS IN A TWO-FACTOR EXPERIMENT UNDER INVERSE GAUSSIAN MODEL. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 15(3), 269-275. SID. https://sid.ir/paper/365567/en

Vancouver: Copy

MESHKANI M.R.. LIMITING PROPERTIES OF EMPIRICAL BAYES ESTIMATORS IN A TWO-FACTOR EXPERIMENT UNDER INVERSE GAUSSIAN MODEL. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2004;15(3):269-275. Available from: https://sid.ir/paper/365567/en

IEEE: Copy

M.R. MESHKANI, “LIMITING PROPERTIES OF EMPIRICAL BAYES ESTIMATORS IN A TWO-FACTOR EXPERIMENT UNDER INVERSE GAUSSIAN MODEL,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 15, no. 3, pp. 269–275, 2004, [Online]. Available: https://sid.ir/paper/365567/en

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