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논문 기본 정보

자료유형
학술저널
저자정보
Zuhair A. Al-Hemyari (Ministry of Higher Education) H. A. Al-Dabag (Babil University) Ali Z. Al-Humairi (University of Duisburg-Essen)
저널정보
한국신뢰성학회 International Journal of Reliability and Applications International Journal of Reliability and Applications 제16권 제2호
발행연도
2015.12
수록면
55 - 79 (25page)

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초록· 키워드

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It is well known that using any additional information in the estimation of unknown parameters with new sample of observations diminishes the sampling units needed and minimizes the risk of new estimators. There are many rational reasons to assure that the existence of additional information in practice and there exists many practical cases in which additional information is available in the form of target value (initial value) about the unknown parameters. This article is described the problem of how the prior initial value about the unknown parameters can be utilized and combined with classical Bayes estimator to get a new combination of Bayes estimator and prior value to improve the properties of the new combination. In this article, two classes of Bayesshrinkage and preliminary test Bayes-shrinkage estimators are proposed for the scale parameter of exponential distribution. The bias, risk and risk ratio expressions are derived and studied. The performance of the proposed classes of estimators is studied for different choices of constants engaged in the estimators. The comparisons, conclusions and recommendations are demonstrated.

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Abstract
1. INTRODUCTION
2. BAYES AND BAYES-SHRINKAGE PROCEDURES
3. THE MODIFIED BAYES-SHRINKAGE PROCEDURE
4. THE PRELIMINARY TEST BAYES-SHRINKAGE PROCEDURE
5. OTHER SAMPLING PROCEDURES
6. SIMULATION RESULTS AND DISCUSSION
7. SUMMARY, CONCLUSIONS AND RECOMMENDATIONS
REFERENCES

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