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Extreme value control charts based on Rayleigh distribution
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(2) · pp. 27–30
B Sri Ram✉(Acharya Nagarjuna University)V. V. Srinivas(Acharya Nagarjuna University)Rrl Kantam(Acharya Nagarjuna University)
Abstract
Variable control charts are based on subgroup statistics and variation in the values of the subgroups. In this paper extreme order statistic of the subgroup are considered to develop the control limits to decide upon the in control status of the process. Here, the quality characteristic is assumed to follow Rayleigh (Weibull with shape parameter 2) and gamma with shape parameter 2 distributions are considered. Relevant comparisons are presented with examples.
Advanced Statistical Process MonitoringAdvanced Statistical Methods and ModelsStatistical and Computational ModelingWeibull distributionStatisticControl chartStatisticsRayleigh distributionExtreme value theoryMathematicsShape parameterOrder statisticStatistical process control
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