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Grey Predictive Process Control Charts
Authors:Renkuan Guo  Tim Dunne
Institution:1. Department of Statistical Sciences , University of Cape Town , Cape Town , South Africa rguo@worldonline.co.za;3. Department of Statistical Sciences , University of Cape Town , Cape Town , South Africa
Abstract:The present article intends to develop some imputation methods to reduce the impact of non response at both the occasions in two-occasion successive (rotation) sampling. Utilizing the auxiliary information, which is only available at the current occasion, estimators have been proposed for estimating the population mean at the current occasion. Estimators for the current occasion are also derived as a particular case when there is non response either on the first occasion or second occasion. Behaviors of the proposed estimators are studied and their respective optimum replacement policies are also discussed. To study the effectiveness of the suggested imputation methods, performances of the proposed estimators are compared in two different situations, with and without non response. The results obtained are demonstrated with the help of empirical studies.
Keywords:Grey CUSUM control chart  Grey fuzzy predictive control  Grey Shewhart control chart  Statistical quality control  Systematic grey equation system
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