메뉴 건너뛰기




Volumn 44, Issue 11, 2012, Pages 949-963

A distribution-free robust method for monitoring linear profiles using rank-based regression

Author keywords

Heavily tailed distributions; leptokurtic distributions; MEWMA; MSEWMA; non parametric procedure; profile monitoring; sign based EWMA; Wilcoxon rank estimator

Indexed keywords

HEAVILY-TAILED DISTRIBUTIONS; LEPTOKURTIC DISTRIBUTION; MEWMA; MSEWMA; NON-PARAMETRIC; PROFILE MONITORING; SIGN-BASED EWMA; WILCOXON RANK ESTIMATOR;

EID: 84865835725     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/0740817X.2011.649386     Document Type: Article
Times cited : (25)

References (46)
  • 3
    • 64549155317 scopus 로고    scopus 로고
    • Statistical process monitoring of nonlinear profiles using wavelets
    • Chicken, E., Pignatiello, J.J. and Simpson, J. (2009) Statistical process monitoring of nonlinear profiles using wavelets. Journal of Quality Technology, 41, 198-212.
    • (2009) Journal of Quality Technology , vol.41 , pp. 198-212
    • Chicken, E.1    Pignatiello, J.J.2    Simpson, J.3
  • 5
    • 33746120768 scopus 로고    scopus 로고
    • Phase I analysis for monitoring nonlinear profiles in manufacturing processes
    • Ding, Y., Zeng, L. and Zhou, S. (2006) Phase I analysis for monitoring nonlinear profiles in manufacturing processes. Journal of Quality Technology, 38, 199-216. (Pubitemid 44086018)
    • (2006) Journal of Quality Technology , vol.38 , Issue.3 , pp. 199-216
    • Ding, Y.1    Zeng, L.2    Zhou, S.3
  • 8
    • 24944574513 scopus 로고    scopus 로고
    • A practical affine equivariant multivariate median
    • DOI 10.1093/biomet/89.4.851
    • Hettmansperger, T.P. and Randles, R.H. (2002) A practical affine equivariant multivariate median. Biometrika, 89, 851-860. (Pubitemid 41311949)
    • (2002) Biometrika , vol.89 , Issue.4 , pp. 851-860
    • Hettmansperger, T.P.1    Randles, R.H.2
  • 9
    • 0001577150 scopus 로고
    • Estimating regression coefficients by minimizing the dispersion of residuals
    • Jaeckel, L.A. (1972) Estimating regression coefficients by minimizing the dispersion of residuals. The Annals of Mathematical Statistics, 43, 1449-1458.
    • (1972) The Annals of Mathematical Statistics , vol.43 , pp. 1449-1458
    • Jaeckel, L.A.1
  • 10
    • 62949159524 scopus 로고    scopus 로고
    • Profile monitoring via nonlinear mixed models
    • Jensen, W.A. and Birch, J.B. (2009) Profile monitoring via nonlinear mixed models. Journal of Quality Technology, 41, 18-34.
    • (2009) Journal of Quality Technology , vol.41 , pp. 18-34
    • Jensen, W.A.1    Birch, J.B.2
  • 11
    • 41249101111 scopus 로고    scopus 로고
    • Monitoring correlation within linear profiles using mixed models
    • Jensen, W.A., Birch, J.B. and Woodall, W.H. (2008) Monitoring correlation within linear profiles using mixed models. Journal of Quality Technology, 40, 167-183. (Pubitemid 351462947)
    • (2008) Journal of Quality Technology , vol.40 , Issue.2 , pp. 167-183
    • Jensen, W.A.1    Birch, J.B.2    Woodall, W.H.3
  • 12
    • 0035335642 scopus 로고    scopus 로고
    • The performance of exponentially weighted moving average charts with estimated parameters
    • DOI 10.1198/004017001750386279
    • Jones, L.A., Champ, C.W. and Rigdon, S.E. (2001) The performance of exponentially weighted moving average charts with estimated parameters. Technometrics, 43, 156-167. (Pubitemid 32508818)
    • (2001) Technometrics , vol.43 , Issue.2 , pp. 156-167
    • Jones, L.A.1    Champ, C.W.2    Rigdon, S.E.3
  • 13
    • 0001297461 scopus 로고
    • Nonparametric estimate of regression coefficients
    • Jureakov́a, J. (1971) Nonparametric estimate of regression coefficients. The Annals of Mathematical Statistics, 42, 1328-1338.
    • (1971) The Annals of Mathematical Statistics , vol.42 , pp. 1328-1338
    • Jureakov́a, J.1
  • 14
    • 1642541495 scopus 로고    scopus 로고
    • On-line monitoring when the process yields a linear profile
    • Kang, L. and Albin, S.L. (2000) On-line monitoring when the process yields a linear profile. Journal of Quality Technology, 32, 418-426.
    • (2000) Journal of Quality Technology , vol.32 , pp. 418-426
    • Kang, L.1    Albin, S.L.2
  • 17
    • 0036474782 scopus 로고    scopus 로고
    • A wavelet-based procedure for process fault detection
    • DOI 10.1109/66.983447, PII S0894650702010308
    • Lada, E.K., Lu, J.-C. and Wilson, J.R. (2002) A wavelet-based procedure for process fault detection. IEEE Transactions on Semiconductor Manufacturing, 15, 79-90. (Pubitemid 34278388)
    • (2002) IEEE Transactions on Semiconductor Manufacturing , vol.15 , Issue.1 , pp. 79-90
    • Lada, E.K.1    Lu, J.-C.2    Wilson, J.R.3
  • 18
    • 77949379085 scopus 로고    scopus 로고
    • Variable selection and coefficient estimation via regularized rank regression
    • Leng, C. (2010) Variable selection and coefficient estimation via regularized rank regression. Statistica Sinica, 20, 167-181.
    • (2010) Statistica Sinica , vol.20 , pp. 167-181
    • Leng, C.1
  • 19
    • 77955331694 scopus 로고
    • Multivariate exponentially weighted moving average control chart
    • Lowry, C.A., Woodall, W.H., Champ, C.W. and Rigdon, S.E. (1992) Multivariate exponentially weighted moving average control chart. Technometrics, 34, 46-53.
    • (1992) Technometrics , vol.34 , pp. 46-53
    • Lowry, C.A.1    Woodall, W.H.2    Champ, C.W.3    Rigdon, S.E.4
  • 20
    • 0025387954 scopus 로고
    • Exponentially weighted moving average control scheme properties and enhancements
    • Lucas, J.M. and Saccucci, M.S. (1990) Exponentially weighted moving average control scheme properties and enhancements. Technometrics, 32, 1-29.
    • (1990) Technometrics , vol.32 , pp. 1-29
    • Lucas, J.M.1    Saccucci, M.S.2
  • 23
    • 8344221961 scopus 로고    scopus 로고
    • Phase i analysis of linear profiles with calibration applications
    • Mahmoud, M.A. and Woodall, W.H. (2004) Phase I analysis of linear profiles with calibration applications. Technometrics, 46, 380-391.
    • (2004) Technometrics , vol.46 , pp. 380-391
    • Mahmoud, M.A.1    Woodall, W.H.2
  • 25
    • 84971936861 scopus 로고
    • Asymptotics for least absolute deviation regression estimators
    • Pollard, D. (1991) Asymptotics for least absolute deviation regression estimators. Econometric Theory, 7, 186-199.
    • (1991) Econometric Theory , vol.7 , pp. 186-199
    • Pollard, D.1
  • 26
    • 43149088732 scopus 로고    scopus 로고
    • Distribution-free multivariate process control based on log-linear modeling
    • DOI 10.1080/07408170701744843, PII 792669718
    • Qiu, P. (2008) Distribution-free multivariate process control based on log-linear modeling. IIE Transactions, 40, 664-677. (Pubitemid 351638557)
    • (2008) IIE Transactions (Institute of Industrial Engineers) , vol.40 , Issue.7 , pp. 664-677
    • Qiu, P.1
  • 27
    • 0035334515 scopus 로고    scopus 로고
    • A rank-based multivariate CUSUM procedure
    • DOI 10.1198/004017001750386242
    • Qiu, P. and Hawkins, D.M. (2001) A rank-based multivariate CUSUM procedure. Technometrics, 43, 120-132. (Pubitemid 32508815)
    • (2001) Technometrics , vol.43 , Issue.2 , pp. 120-132
    • Qiu, P.1    Hawkins, D.2
  • 28
    • 77955386922 scopus 로고    scopus 로고
    • Nonparametric profile monitoring by mixed effects modeling (with discussions)
    • Qiu, P., Zou, C. and Wang, Z. (2010) Nonparametric profile monitoring by mixed effects modeling (with discussions). Technometrics, 52, 265-277.
    • (2010) Technometrics , vol.52 , pp. 265-277
    • Qiu, P.1    Zou, C.2    Wang, Z.3
  • 29
    • 0442293814 scopus 로고    scopus 로고
    • A simpler, affine invariant, multivariate, distribution-free sign test
    • Randles, R.H. (2000) A simpler, affine invariant, multivariate, distribution-free sign test. Journal of the American Statistical Association, 95, 1263-1268.
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 1263-1268
    • Randles, R.H.1
  • 31
    • 3542996874 scopus 로고    scopus 로고
    • Rank estimation of regression coefficients using iterated reweighted least squares
    • DOI 10.1080/00949650310001596381
    • Sievers, G.L. and Abebe, A. (2004) Rank estimation of regression coefficients using iterated reweighted least squares. Journal of Statistical Computation and Simulation, 74, 821-831. (Pubitemid 39016094)
    • (2004) Journal of Statistical Computation and Simulation , vol.74 , Issue.11 , pp. 821-831
    • Sievers, G.L.1    Abebe, A.2
  • 32
    • 0141632816 scopus 로고    scopus 로고
    • Robustness to non-normality of the multivariate EWMA control chart
    • Stoumbos, Z.G. and Sullivan, J.H. (2002) Robustness to non-normality of the multivariate EWMA control chart. Journal of Quality Technology, 34, 260-276.
    • (2002) Journal of Quality Technology , vol.34 , pp. 260-276
    • Stoumbos, Z.G.1    Sullivan, J.H.2
  • 35
    • 37249043822 scopus 로고    scopus 로고
    • Statistical monitoring of nonlinear product and process quality profiles
    • DOI 10.1002/qre.858
    • Williams, J.D.,Woodall,W.H. and Birch, J.B. (2007) Statistical monitoring of nonlinear product and process quality profiles. Quality and Reliability Engineering International, 23, 925-941. (Pubitemid 350280915)
    • (2007) Quality and Reliability Engineering International , vol.23 , Issue.8 , pp. 925-941
    • Williams, J.D.1    Woodall, W.H.2    Birch, J.B.3
  • 36
    • 41549166315 scopus 로고    scopus 로고
    • Current research on profile monitoring
    • Woodall, W.H. (2007) Current research on profile monitoring. Revista Produc̃ao, 17, 420-425.
    • (2007) Revista Produc̃ao , vol.17 , pp. 420-425
    • Woodall, W.H.1
  • 37
    • 8344246718 scopus 로고    scopus 로고
    • Using control charts to monitor process and product quality profiles
    • Woodall, W.H., Spitzner, D.J., Montgomery, D.C. and Gupta, S. (2004) Using control charts to monitor process and product quality profiles. Journal of Quality Technology, 36, 309-320. (Pubitemid 40072175)
    • (2004) Journal of Quality Technology , vol.36 , Issue.3 , pp. 309-320
    • Woodall, W.H.1    Spitzner, D.J.2    Montgomery, D.C.3    Gupta, S.4
  • 38
    • 70749136848 scopus 로고    scopus 로고
    • Profile monitoring for binary response
    • Yeh, A.B., Huwang, L. and Li, Y.M. (2009) Profile monitoring for binary response. IIE Transactions, 41, 931-941.
    • (2009) IIE Transactions , vol.41 , pp. 931-941
    • Yeh, A.B.1    Huwang, L.2    Li, Y.M.3
  • 39
    • 59749103317 scopus 로고    scopus 로고
    • Detecting outliers in complex profiles using a χ2 control chart method
    • Zhang, H. and Albin, S. (2009) Detecting outliers in complex profiles using a χ2 control chart method. IIE Transactions, 41, 335-345.
    • (2009) IIE Transactions , vol.41 , pp. 335-345
    • Zhang, H.1    Albin, S.2
  • 40
    • 59049084122 scopus 로고    scopus 로고
    • Nonparametric control chart based on change-point model
    • Zhou,C.,Zou,C.,Zhang,Y. andWang,Z. (2009) Nonparametric control chart based on change-point model. Statistical Papers, 50, 13-28.
    • (2009) Statistical Papers , vol.50 , pp. 13-28
    • Zhou, C.1    Zou, C.2    Zhang, Y.3    Wang, Z.4
  • 41
    • 79951894804 scopus 로고    scopus 로고
    • Likelihood ratio based distribution-free EWMA schemes
    • Zou, C. and Tsung, F. (2010) Likelihood ratio based distribution-free EWMA schemes. Journal of Quality Technology, 42, 174-196.
    • (2010) Journal of Quality Technology , vol.42 , pp. 174-196
    • Zou, C.1    Tsung, F.2
  • 42
    • 79251557796 scopus 로고    scopus 로고
    • A multivariate sign EWMA control chart
    • Zou, C. and Tsung, F. (2011) A multivariate sign EWMA control chart. Technometrics, 53, 84-97.
    • (2011) Technometrics , vol.53 , pp. 84-97
    • Zou, C.1    Tsung, F.2
  • 43
    • 36849064218 scopus 로고    scopus 로고
    • Monitoring general linear profiles using multivariate exponentially weighted moving average schemes
    • DOI 10.1198/004017007000000164
    • Zou,C., Tsung, F. and Wang, Z. (2007) Monitoring general linear profiles using multivariate EWMA schemes. Technometrics, 49, 395-408. (Pubitemid 350220979)
    • (2007) Technometrics , vol.49 , Issue.4 , pp. 395-408
    • Zou, C.1    Tsung, F.2    Wang, Z.3
  • 44
    • 63849196692 scopus 로고    scopus 로고
    • Monitoring profiles based on nonparametric regression methods
    • Zou, C., Tsung, F. and Wang, Z. (2008) Monitoring profiles based on nonparametric regression methods. Technometrics, 50, 512-526.
    • (2008) Technometrics , vol.50 , pp. 512-526
    • Zou, C.1    Tsung, F.2    Wang, Z.3
  • 45
    • 33750108055 scopus 로고    scopus 로고
    • A control chart based on a change-point model for monitoring linear profiles
    • DOI 10.1080/07408170600728913, PII V4M7755513500026
    • Zou, C., Zhang, Y. and Wang, Z. (2006) Control chart based on changepoint model for monitoring linear profiles. IIE Transactions, 38, 1093-1103. (Pubitemid 44594173)
    • (2006) IIE Transactions (Institute of Industrial Engineers) , vol.38 , Issue.12 , pp. 1093-1103
    • Zou, C.1    Zhang, Y.2    Wang, Z.3
  • 46
    • 35348863724 scopus 로고    scopus 로고
    • A self-starting control chart for linear profiles
    • Zou, C., Zhou, C.,Wang, Z. and Tsung, F. (2007) A self-starting control chart for linear profiles. Journal of Quality Technology, 39, 364-375. (Pubitemid 47585875)
    • (2007) Journal of Quality Technology , vol.39 , Issue.4 , pp. 364-375
    • Zou, C.1    Zhou, C.2    Wang, Z.3    Tsung, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.