메뉴 건너뛰기




Volumn 50, Issue 1, 2009, Pages 13-28

Nonparametric control chart based on change-point model

Author keywords

Average run length; Change point model; Estimated control limits; EWMA chart; Mann Whitney statistic; Nonparametric methods

Indexed keywords


EID: 59049084122     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-007-0054-7     Document Type: Article
Times cited : (88)

References (40)
  • 1
    • 0018465829 scopus 로고
    • A nonparametric procedure for process control based on within-group ranking
    • ST Bakir MR Reynolds 1979 A nonparametric procedure for process control based on within-group ranking Technometrics 21 175 183
    • (1979) Technometrics , vol.21 , pp. 175-183
    • Bakir, S.T.1    Reynolds, M.R.2
  • 3
    • 0042401516 scopus 로고    scopus 로고
    • Nonparametric control charts: An overview and some results
    • S Chakraborti P Van 'der Laan ST Bakir 2001 Nonparametric control charts: an overview and some results J Qual Technol 33 304 315
    • (2001) J Qual Technol , vol.33 , pp. 304-315
    • Chakraborti, S.1    Van 'Der Laan, P.2    Bakir, S.T.3
  • 6
    • 0002358949 scopus 로고    scopus 로고
    • Sequential change-point detection with likelihood ratios
    • E Gombay 2000 Sequential change-point detection with likelihood ratios Stat Probab Lett 49 195 204
    • (2000) Stat Probab Lett , vol.49 , pp. 195-204
    • Gombay, E.1
  • 7
    • 0011498753 scopus 로고
    • A control chart based on ranks
    • P Hackel J Ledolter 1991 A control chart based on ranks J Qual Technol 23 117 124
    • (1991) J Qual Technol , vol.23 , pp. 117-124
    • Hackel, P.1    Ledolter, J.2
  • 8
    • 0000464461 scopus 로고
    • Self-starting CUSUM charts for location and scale
    • DM Hawkins 1987 Self-starting CUSUM charts for location and scale Statistician 36 299 315
    • (1987) Statistician , vol.36 , pp. 299-315
    • Hawkins, D.M.1
  • 10
    • 1642519908 scopus 로고    scopus 로고
    • The changepoint model for statistical process control
    • DM Hawkins P Qiu CW Kang 2003 The changepoint model for statistical process control J Qual Technol 35 355 366
    • (2003) J Qual Technol , vol.35 , pp. 355-366
    • Hawkins, D.M.1    Qiu, P.2    Kang, C.W.3
  • 11
    • 18144388670 scopus 로고    scopus 로고
    • A change-point model for a shift in variance
    • DM Hawkins KD Zamba 2005 A change-point model for a shift in variance J Qual Technol 37 21 31
    • (2005) J Qual Technol , vol.37 , pp. 21-31
    • Hawkins, D.M.1    Zamba, K.D.2
  • 12
    • 18944388780 scopus 로고    scopus 로고
    • Statistical process control for shifts in mean or variance using a change-point formulation
    • DM Hawkins KD Zamba 2005 Statistical process control for shifts in mean or variance using a change-point formulation Technometrics 47 164 173
    • (2005) Technometrics , vol.47 , pp. 164-173
    • Hawkins, D.M.1    Zamba, K.D.2
  • 13
    • 0000754361 scopus 로고
    • Small sample probability limits for the range chart
    • FS Hillier 1967 Small sample probability limits for the range chart J Am Stat Assoc 62 1488 1493
    • (1967) J Am Stat Assoc , vol.62 , pp. 1488-1493
    • Hillier, F.S.1
  • 14
    • 0002368756 scopus 로고
    • X̄ and R control chart limits based on a small number of subgroups
    • FS Hillier 1969 X̄ and R control chart limits based on a small number of subgroups J Qual Technol 1 17 26
    • (1969) J Qual Technol , vol.1 , pp. 17-26
    • Hillier, F.S.1
  • 15
    • 33750179476 scopus 로고    scopus 로고
    • Effects of parameter estimation on control chart properties: A literature review
    • WA Jensen LA Jones-Farmer CW Champ WH Woodall 2006 Effects of parameter estimation on control chart properties: a literature review J Qual Technol 38 349 364
    • (2006) J Qual Technol , vol.38 , pp. 349-364
    • Jensen, W.A.1    Jones-Farmer, L.A.2    Champ, C.W.3    Woodall, W.H.4
  • 16
    • 0242501583 scopus 로고    scopus 로고
    • The statistical design of EWMA control charts with estimated parameters
    • LA Jones 2002 The statistical design of EWMA control charts with estimated parameters J Qual Technol 34 277 288
    • (2002) J Qual Technol , vol.34 , pp. 277-288
    • Jones, L.A.1
  • 17
    • 0035335642 scopus 로고    scopus 로고
    • The performance of exponentially weighted moving average charts with estimated parameters
    • LA Jones CW Champ SE Rigdon 2001 The performance of exponentially weighted moving average charts with estimated parameters Technometrics 43 156 167
    • (2001) Technometrics , vol.43 , pp. 156-167
    • Jones, L.A.1    Champ, C.W.2    Rigdon, S.E.3
  • 18
    • 0442295421 scopus 로고    scopus 로고
    • The run length distribution of the CUSUM with estimated parameters
    • LA Jones CW Champ SE Rigdon 2004 The run length distribution of the CUSUM with estimated parameters J Qual Technol 36 95 108
    • (2004) J Qual Technol , vol.36 , pp. 95-108
    • Jones, L.A.1    Champ, C.W.2    Rigdon, S.E.3
  • 19
    • 59049103120 scopus 로고
    • Sequential changepoint detection in quality control and dynamical systems
    • TL Lai 1995 Sequential changepoint detection in quality control and dynamical systems J R Stat Soc B 26 211 243
    • (1995) J R Stat Soc B , vol.26 , pp. 211-243
    • Lai, T.L.1
  • 20
    • 0346405517 scopus 로고    scopus 로고
    • Sequential analysis: Some classical problems and new challenges
    • TL Lai 2001 Sequential analysis: some classical problems and new challenges Stat Sinica 11 303 350
    • (2001) Stat Sinica , vol.11 , pp. 303-350
    • Lai, T.L.1
  • 21
    • 0025387954 scopus 로고
    • Exponentially weighted moving average control scheme properties and enhancements
    • JM Lucas MS Saccucci 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
  • 22
    • 0002322469 scopus 로고
    • On a test whether one of two random variables is stochastically larger than the other
    • HB Mann DR Whitney 1947 On a test whether one of two random variables is stochastically larger than the other Ann Math Stat 18 50 60
    • (1947) Ann Math Stat , vol.18 , pp. 50-60
    • Mann, H.B.1    Whitney, D.R.2
  • 23
    • 0025496255 scopus 로고
    • A CUSUM procedure based on sequential ranks
    • D McDonald 1990 A CUSUM procedure based on sequential ranks Nav Res Log 37 627 646
    • (1990) Nav Res Log , vol.37 , pp. 627-646
    • McDonald, D.1
  • 26
    • 0001138326 scopus 로고
    • A non-parametric approach to the change-point problem
    • AN Pettitt 1979 A non-parametric approach to the change-point problem Appl Stat 28 126 135
    • (1979) Appl Stat , vol.28 , pp. 126-135
    • Pettitt, A.N.1
  • 27
    • 0012063395 scopus 로고    scopus 로고
    • Estimation of the change point of a normal process mean in SPC applications
    • JJ Pignatiello Jr TR Samuel 2001 Estimation of the change point of a normal process mean in SPC applications J Qual Technol 33 82 95
    • (2001) J Qual Technol , vol.33 , pp. 82-95
    • Pignatiello Jr., J.J.1    Samuel, T.R.2
  • 28
    • 0036865179 scopus 로고    scopus 로고
    • A magnitude-robust control chart for monitoring and estimating step changes for normal process means
    • JJ Pignatiello Jr JR Simpson 2002 A magnitude-robust control chart for monitoring and estimating step changes for normal process means Qual Reliab Eng Int 18 429 441
    • (2002) Qual Reliab Eng Int , vol.18 , pp. 429-441
    • Pignatiello Jr., J.J.1    Simpson, J.R.2
  • 29
    • 0012061816 scopus 로고
    • Sequential detection of a change in normal mean when the initial value is unknown
    • M Pollak D Siegmund 1991 Sequential detection of a change in normal mean when the initial value is unknown Ann Stat 19 394 416
    • (1991) Ann Stat , vol.19 , pp. 394-416
    • Pollak, M.1    Siegmund, D.2
  • 30
    • 0035334515 scopus 로고    scopus 로고
    • A rank based multivariate CUSUM procedure
    • P Qiu DM Hawkins 2001 A rank based multivariate CUSUM procedure Technometrics 43 120 132
    • (2001) Technometrics , vol.43 , pp. 120-132
    • Qiu, P.1    Hawkins, D.M.2
  • 31
    • 0142105865 scopus 로고    scopus 로고
    • A nonparametric multivariate CUSUM procedure for detecting shifts in all directions
    • P Qiu DM Hawkins 2003 A nonparametric multivariate CUSUM procedure for detecting shifts in all directions Statistician 52 151 164
    • (2003) Statistician , vol.52 , pp. 151-164
    • Qiu, P.1    Hawkins, D.M.2
  • 32
    • 0000046867 scopus 로고
    • SPC Q charts for start-up processes and short or long runs
    • CP Quesenberry 1991 SPC Q charts for start-up processes and short or long runs J Qual Technol 23 213 224
    • (1991) J Qual Technol , vol.23 , pp. 213-224
    • Quesenberry, C.P.1
  • 33
    • 0001042727 scopus 로고
    • The effect of sample size on estimated limits for X̄ and X control charts
    • CP Quesenberry 1993 The effect of sample size on estimated limits for X̄ and X control charts J Qual Technol 25 237 247
    • (1993) J Qual Technol , vol.25 , pp. 237-247
    • Quesenberry, C.P.1
  • 34
    • 0029341398 scopus 로고
    • On properties of Q charts for variables
    • CP Quesenberry 1995 On properties of Q charts for variables J Qual Technol 27 184 203
    • (1995) J Qual Technol , vol.27 , pp. 184-203
    • Quesenberry, C.P.1
  • 36
    • 21844489952 scopus 로고
    • Using the generalized likelihood ratio statistics for sequential detection of a change-point
    • D Siegmund ES Venkatraman 1995 Using the generalized likelihood ratio statistics for sequential detection of a change-point Ann Stat 23 255 271
    • (1995) Ann Stat , vol.23 , pp. 255-271
    • Siegmund, D.1    Venkatraman, E.S.2
  • 37
    • 0036474028 scopus 로고    scopus 로고
    • A self-starting control chart for multivariate individual observations
    • JH Sullivan LA Jones 2002 A self-starting control chart for multivariate individual observations Technometrics 44 24 33
    • (2002) Technometrics , vol.44 , pp. 24-33
    • Sullivan, J.H.1    Jones, L.A.2
  • 38
    • 0042379802 scopus 로고    scopus 로고
    • Change point estimates for the parameters of an AR(1) process
    • DH Timmer JJ Pignatiello Jr 2003 Change point estimates for the parameters of an AR(1) process Qual Reliab Eng Int 19 355 369
    • (2003) Qual Reliab Eng Int , vol.19 , pp. 355-369
    • Timmer, D.H.1    Pignatiello Jr., J.J.2
  • 39
    • 0001648555 scopus 로고    scopus 로고
    • Research issues and ideas in statistical process control
    • WH Woodall DC Montgomery 1999 Research issues and ideas in statistical process control J Qual Technol 31 376 386
    • (1999) J Qual Technol , vol.31 , pp. 376-386
    • Woodall, W.H.1    Montgomery, D.C.2
  • 40
    • 0014724051 scopus 로고
    • Mean and variance control chart limits based on a small number of subgroups
    • CH Yang FS Hillier 1970 Mean and variance control chart limits based on a small number of subgroups J Qual Technol 2 9 16
    • (1970) J Qual Technol , vol.2 , pp. 9-16
    • Yang, C.H.1    Hillier, F.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.