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Step change-point estimation of multivariate binomial processes

Niaki, S. T. A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1108/IJQRM-07-2012-0101
  3. Abstract:
  4. Purpose: The purpose of this paper is to propose two control charts to monitor multi-attribute processes and then a maximum likelihood estimator for the change point of the parameter vector (process fraction non-conforming) of multivariate binomial processes. Design/methodology/approach: The performance of the proposed estimator is evaluated for both control charts using some simulation experiments. At the end, the applicability of the proposed method is illustrated using a real case. Findings: The proposed estimator provides accurate and useful estimation of the change point for almost all of the shift magnitudes, regardless of the process dimension. Moreover, based on the results obtained the estimator is robust with regard to different correlation values. Originality/value: To the best of authors' knowledge, there are no work available in the literature to estimate the change-point of multivariate binomial processes
  5. Keywords:
  6. Change point ; Maximum likelihhod estimator ; MEWMA control charts ; Multi-attribute processes ; Multivariate binomial distribution ; Root/power transformation ; Statistical process control (SPC) ; T2 control charts
  7. Source: International Journal of Quality and Reliability Management ; Vol. 31, Issue 5 , April , 2014 , pp. 566-587 ; ISSN: 0265-671X
  8. URL: http://www.emeraldinsight.com/doi/full/10.1108/IJQRM-07-2012-0101