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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국자료분석학회 Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제21권 제5호
- 발행연도
- 2019.1
- 수록면
- 2,193 - 2,202 (10page)
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In this research, we propose multivariate combined control charts for the mean vector and covariance matrix to control simultaneously in the process under the normality assumption. For doing this, first of all, we review the multivariate simultaneous tests proposed by Park (2018) in some detailed fashion, which makes use of the likelihood ratio principle. Also we consider the simultaneous tests with various combining functions to combine individual tests. Then we propose to construct the multivariate combined charts by investigating the relation between the hypothesis test and control chart to utilize the multivariate simultaneous tests. We note that the proposed control charts will be consisted with a series of hypothesis tests instead of plotting the values of sample mean vector and covariance matrix in the control chart sheets. Then we investigate the efficiency among the proposed control charts by obtaining empirical average run length which represents the average runs until detecting out of control state when the process is out of control. Finally, we observe some interesting features related with the multivariate combined control charts.
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참고문헌 (17)
참고문헌 신청
Berger, R. L. / 1996 / Likelihood ratio tests and intersection-union tests
Casella, G. / 2002 / Statistical Inference / Duxbury
Chen, G. / 2005 / A new multivariate control chart for monitoring both location and dispersion / Communications in Statistics-Theory and Methods 34:203~217
Fagerland, M. W. / 2009 / Performance of five two-sample location tests for skewed distributions with unequal variances / Contemporary Clinical Trials 30:490~496
Fisher, R. A. / 1932 / Statistical Methods for Research Workers / Oliver & Boyd
Casella, G. / 2002 / Statistical Inference / Duxbury
Chen, G. / 2005 / A new multivariate control chart for monitoring both location and dispersion / Communications in Statistics-Theory and Methods 34:203~217
Fagerland, M. W. / 2009 / Performance of five two-sample location tests for skewed distributions with unequal variances / Contemporary Clinical Trials 30:490~496
Fisher, R. A. / 1932 / Statistical Methods for Research Workers / Oliver & Boyd
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