2018
DOI: 10.1007/s40096-018-0265-1
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Asymmetric control limits for range chart with simple robust estimator under the non-normal distributed process

Abstract: This paper aims to modify Shewhart, the weighted variance and skewness correction methods in industrial statistical process control. The robust and asymmetric control limits of range chart are constructed to use in contaminated and skewed distributed process. The way of construction of control limits is simple and corresponds to three methods in which sample range estimator is replaced with the robust interquartile range. These three modified methods are evaluated in terms of their type I risks and average run… Show more

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Cited by 12 publications
(9 citation statements)
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“…Thus, in contrast to a normal distribution, the form of lognormal distribution indicates the state of degradation and destruction of the building. In the model of multiplicative interaction, the random influence of a factor is considered, in addition to the state of the system itself on which that factor acts [38].…”
Section: Methodsmentioning
confidence: 99%
“…Thus, in contrast to a normal distribution, the form of lognormal distribution indicates the state of degradation and destruction of the building. In the model of multiplicative interaction, the random influence of a factor is considered, in addition to the state of the system itself on which that factor acts [38].…”
Section: Methodsmentioning
confidence: 99%
“…Moreover, since mean is affected by extreme values, the deviation from median, which is fifth decile, is also recommended by Schoonhoven and Does 29 and recently trimmed versions of estimators to deal with extreme values are also proposed by Karagoz 30 …”
Section: Analyses and Interpretationmentioning
confidence: 99%
“…Further details on the usage of non-normal distribution in CC can be found in Chou et al, 6 Stoumbos and Sullivan, 7 Chen and Cheng, 8 Aslam et al, 9 Chen and Yeh, 10 Huberts et al, 11 Aslam et al, 9,8 ) and Karagöz. 12 Control chart is classified by two process monitor styles, that is, variable control chart (VCC) and attribute control chart (ACC). VCC such as X-bar, R and S charts are used to track the operation while the distribution of the underlying process is continuous Whereas ACC is used when the quality characteristic is classified as conforming and non-conforming items.…”
Section: Introductionmentioning
confidence: 99%