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003 EG-GiCUC
008 170206s2016 ua h f m 000 0 eng d
040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aPh.D
099 _aCai01.03.01.Ph.D.2016.Ne.O
100 0 _aNesma Ali Mahmoud Saleh
245 1 0 _aOn the statistical performance of quality control charts with estimated parameters /
_cNesma Ali Mahmoud Saleh ; Supervised Mahmoud Alsaid Mahmoud
246 1 5 _aحول الأداء الإحصائي لخرائط التحكم في حالة المعلمات المقدرة
260 _aCairo :
_bNesma Ali Mahmoud Saleh ,
_c2016
300 _a133 P. :
_bfacsimiles ;
_c25cm
502 _aThesis (Ph.D.) - Cairo University - Faculty of Economics and Political Science - Department of Statistics
520 _aUnder estimated in-control parameters, the Phase II control chart performance is expected to vary among practitioners due to the use of different Phase I data sets. Accordingly, the typical measure of Phase II control chart performance, the average run length (ARL), becomes a random variable. In the literature, control charts with estimated parameters were assessed and the appropriate amounts of Phase I data were recommended based on the in-control performance averaged across the practitioner-to-practitioner variability. In this study, aspects of the ARL distribution, such as the standard deviation of the average run length (SDARL) and some quantiles are used to quantify the between-practitioner variability in control charts performance when the process parameters are estimated. It is shown that no realistic amount of Phase I data is sufficient to have confidence that the attained in-control ARL is close to the desired value. Moreover, it is shown that even with the use of larger amounts of historical data, there is still a problem with the excessive false alarm rates. Due to the extreme difficulty of lowering the variation in the in-control ARLs, an alternative design criterion based on the bootstrap approach is recommended for adjusting the control limits. The technique is quite effective in controlling the percentage of short in-control ARLs resulting from the estimation error. Three of the most well-known univariate control charts (Shewhart, EWMA, and CUSUM), and two multivariate charts (T2, and MEWMA) are studied
530 _aIssued also as CD
653 4 _aBootstrap
653 4 _aControl Charts
653 4 _aEstimation Effect
700 0 _aMahmoud Alsaid Mahmoud ,
_eSupervisor
905 _aNazla
_eRevisor
905 _aShaima
_eCataloger
942 _2ddc
_cTH
999 _c59701
_d59701