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Constrained 베이즈 추정방식의 제품 품질관리 활용방안에 관한 연구

A Study on the Application of Constrained Bayes Estimation for Product Quality Control

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주제분류학제간연구

초록

Purpose: The purpose of this study is to apply the constrained Bayesian estimation methodology for product quality control process and prove the effectiveness of the product management by comparing with the well-known Bayes estimator through data performance result. Methods: The Bayes and constrained Bayes estimators were produced based on the theoretical background and for confirming the effectiveness of suggested application, the deviation index was defined and calculated for the comparison. Results: The statistical analysis result shows that applying the suggested estimation methodology, that is, constrained Bayes estimator improves the effectiveness of the index with regard to reduce the error by matching the first two empirical moments. Conclusion: Considering the advanced Bayesian approaches such as constrained Bayes estimation for the product quality control process, the newly defined deviation index reduces the error for estimating the parameter histogram which is reflected both location and deviation parameters and furthermore various Bayesian perspective approaches seems to be meaningful for managing the product quality control process.

Abstract

Purpose: The purpose of this study is to apply the constrained Bayesian estimation methodology for product quality control process and prove the effectiveness of the product management by comparing with the well-known Bayes estimator through data performance result. Methods: The Bayes and constrained Bayes estimators were produced based on the theoretical background and for confirming the effectiveness of suggested application, the deviation index was defined and calculated for the comparison. Results: The statistical analysis result shows that applying the suggested estimation methodology, that is, constrained Bayes estimator improves the effectiveness of the index with regard to reduce the error by matching the first two empirical moments. Conclusion: Considering the advanced Bayesian approaches such as constrained Bayes estimation for the product quality control process, the newly defined deviation index reduces the error for estimating the parameter histogram which is reflected both location and deviation parameters and furthermore various Bayesian perspective approaches seems to be meaningful for managing the product quality control process.

참고문헌 (7)

  1. Ghosh, M, "Constrained Bayes Estimation with Applications", Journal of the American Statistical Association, 82, pp.1153~1162 (1992)
  2. Ghosh, M., "Multivariate Constrained Bayes Estimation", Parkistan Journal of Statistics, 18(2), pp.143~148 (2002)
  3. 김명준, "Application of Constrained Bayes Estimation under Balanced Loss Function in Insurance Pricing", Communications for Statistical Applications and Methods, 21(3), pp.235~245 (2014), 한국통계학회
  4. 김태규, "KS제품 품질우수성지수 모델 개선 방안에 관한 연구", 품질경영학회지, 41(3), pp.327~336 (2013), 한국품질경영학회[DOI]
  5. 김태규, "베이즈 추정방식의 품질우수성지수 적용 방안에 관한 연구", 품질경영학회지, 42(4), pp.747~756 (2014), 한국품질경영학회
  6. Louis, T. A, "Estimating a Population of Parameter Values Using Bayes and Empirical Bayes Methods", Journal of the American Statistical Association, 79, pp.393~398 (1984)
  7. Spjotvoll, E., "Application of Some Empirical Bayes Methods on Small Area Statistics", Proceedings of the International Statistical Institute, 2, pp.435~449 (1987)

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