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Volumn 65, Issue 4, 2003, Pages 457-466

A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules

Author keywords

Control charts; Discretization; Markov chain; Transition matrix

Indexed keywords


EID: 0345599101     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2003.10.004     Document Type: Article
Times cited : (34)

References (14)
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    • Brook, D.1    Evans, D.A.2
  • 2
    • 0023451218 scopus 로고
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    • Champ, C.W.1    Woodall, W.H.2
  • 3
    • 21444442040 scopus 로고    scopus 로고
    • Distribution theory of runs and patterns associated with a sequence of multi-state trials
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    • (1996) Statist. Sinica , vol.6 , Issue.4 , pp. 957-974
    • Fu, J.C.1
  • 5
    • 0037082602 scopus 로고    scopus 로고
    • On the average run lengths of quality control schemes using a Markov chain approach
    • Fu J.C. Spiring F.A. Xie H. On the average run lengths of quality control schemes using a Markov chain approach Statist. Probab. Lett. 56 2001 369-380
    • (2001) Statist. Probab. Lett. , vol.56 , pp. 369-380
    • Fu, J.C.1    Spiring, F.A.2    Xie, H.3
  • 6
    • 84948487645 scopus 로고
    • Robust CUSUM: A robustness study for Cusum quality control schemes
    • Lucas J.M. Crosier R.B. Robust CUSUM: a robustness study for Cusum quality control schemes Comm. Statist. - Theory Methods 11 23 1982 2669-2687
    • (1982) Comm. Statist. - Theory Methods , vol.11 , Issue.23 , pp. 2669-2687
    • Lucas, J.M.1    Crosier, R.B.2
  • 7
    • 0020165826 scopus 로고
    • Fast initial response for CUSUM quality-control schemes: Give your CUSUM a head start
    • (reprinted in 2000)
    • Lucas J.M. Crosier R.B. Fast initial response for CUSUM quality-control schemes: give your CUSUM a head start Technometrics 24 3 1982 199-205 (reprinted in 2000)
    • (1982) Technometrics , vol.24 , Issue.3 , pp. 199-205
    • Lucas, J.M.1    Crosier, R.B.2
  • 8
    • 0025387954 scopus 로고
    • Exponentially weighted moving average control schemes: Properties and enhancements
    • Lucas J.M. Saccucci M.S. Exponentially weighted moving average control schemes: properties and enhancements Technometrics 32 1 1990 1-12
    • (1990) Technometrics , vol.32 , Issue.1 , pp. 1-12
    • Lucas, J.M.1    Saccucci, M.S.2
  • 9
    • 0034319786 scopus 로고    scopus 로고
    • Evaluation of the run-length probability distribution for CUSUM charts: Assessing chart performance
    • Luceno A. Puig-Pey J. Evaluation of the run-length probability distribution for CUSUM charts: assessing chart performance Technometrics 42 4 2000 411-416
    • (2000) Technometrics , vol.42 , Issue.4 , pp. 411-416
    • Luceno, A.1    Puig-Pey, J.2
  • 11
    • 0035371834 scopus 로고    scopus 로고
    • Uniqueness and convergence of solutions to average run length integral equation for cumulative sum and other control charts
    • Rao B.V. Disney R.L. Pignatiello J.J. Jr. Uniqueness and convergence of solutions to average run length integral equation for cumulative sum and other control charts IIE Trans. 33 6 2001 463-469
    • (2001) IIE Trans. , vol.33 , Issue.6 , pp. 463-469
    • Rao, B.V.1    Disney, R.L.2    Pignatiello Jr., J.J.3
  • 12
    • 84946637626 scopus 로고
    • Control chart tests based on geometric moving averages
    • Roberts S.W. Control chart tests based on geometric moving averages Technometrics 1 3 1959 239-250
    • (1959) Technometrics , vol.1 , Issue.3 , pp. 239-250
    • Roberts, S.W.1
  • 13
    • 0002469321 scopus 로고
    • Average run lengths of geometric moving average charts by numerical methods
    • Robinson P.B. Ho T.Y. Average run lengths of geometric moving average charts by numerical methods Technometrics 20 1 1978 85-94
    • (1978) Technometrics , vol.20 , Issue.1 , pp. 85-94
    • Robinson, P.B.1    Ho, T.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.