Weighted standard deviation method for X and S control charts

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dc.contributor.authorKaragöz, Derya
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-04T08:43:19Z
dc.date.available2021-11-04T08:43:19Z
dc.date.issued2019-08-01
dc.description.abstractA Shewhart chart based on normality assumption is not appropriate for skewed distributions since its Type-I error rate is inflated. This study presents X and S control charts for monitoring the process variability for skewed distributions. We propose Weighted Standard Deviation (WSD) X and S control charts. Standard deviation estimator is applied to monitor the process variability for estimating the process standard deviation, in the case of the WSD X and S control charts as this estimator is simple and easy to compute. Unlike the Shewhart control chart, the proposed charts provide asymmetric limits in accordance with the direction and degree of skewness to construct the upper and lower limits. The performances of the proposed charts are compared with other heuristic charts for skewed distributions by using Simulation study. The Simulation studies show that the proposed control charts have good properties for skewed distributions and large sample sizes.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage1386tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue2tr_TR
dc.identifier.startpage1377tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.530462tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75888
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.530462tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectWeighted standard deviationtr_TR
dc.subjectLognormal distributionstr_TR
dc.subjectX and S control chartstr_TR
dc.titleWeighted standard deviation method for X and S control chartstr_TR
dc.typeArticletr_TR

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Cilt:68 Sayı:02 (2019)