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Variable control charts based on percentiles of the new Rayleigh-Pareto distribution
International Journal of Statistics and Applied Mathematics · 2021 · Vol. 6(3) · pp. 122–131
K. Rosaiah✉(Acharya Nagarjuna University)B. Srinivasa Rao(Acharya Nagarjuna University)P. Jyothi(Acharya Nagarjuna University)
Abstract
In this paper, we consider the New Rayleigh-Pareto distribution as a life time model. Based on the evaluated percentiles of sample estimates like sample mean, median, midrange, range and standard deviation, the control limits for the respective control charts are developed. The admissibility and power of the control limits are assessed in comparison with those on the popular Shewhart control limits.
Advanced Statistical Process MonitoringStatistical Distribution Estimation and ApplicationsAdvanced Statistical Methods and ModelsPercentileRayleigh distributionStandard deviationPareto distributionControl chartPareto principleRange (aeronautics)StatisticsControl limitsMathematics
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