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The aim is to improve empirical Bayes estimation techniques for continuous distributions using a smoothed prior.

January 1, 1967Biometrika

Smooth empirical Bayes estimation for continuous distributions

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The aim is to improve empirical Bayes estimation techniques for continuous distributions using a smoothed prior.
Approximation of the prior distribution using a stop function
Consideration of multiple past and current observations
Evaluation of the proposed estimators against non-Bayes alternatives.
Smooth empirical Bayes estimators outperform optimum non-Bayes estimators with small past data
Enhanced estimation accuracy is achieved due to the proposed methods
Examination of the effectiveness of estimators across various sample distributions.

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Randomized trial examines improved estimators for continuous distributions, indicating significant advances in estimation techniques.

J. S. Maritz (1967) studied this question.

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