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Control charts and cusum charts under linear trend with log-logistic distribution
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(3) · pp. 126–132
Abstract
This paper intends to assess the performance of Control Charts and CUSUM charts under linear trend with Log-Logistic distribution. A distinct approach, in which the operation of the scheme is regarded as forming a Markovian Chain, is set out. The Run Length properties of Control Charts and CUSUM schemes under conditions of slippage in the mean level by step-change to a new sustained level are well documented. Such control procedures are often used where a genuine out of control signal may result from gradual, rather than step changes. This paper presents, the results of evaluation of run length under linear trend with Rayleigh distribution.
Advanced Statistical Process MonitoringFault Detection and Control SystemsCUSUMControl chartStatisticsRayleigh distributionShewhart individuals control chartComputer scienceMathematicsEconometricsEWMA chartProbability density function
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