Design of acceptance sampling plan using a modified EWMA statistic |
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| Authors: | Nasrullah Khan Chi-Hyuck Jun Jaffer Hussain |
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| Affiliation: | 1. Department of Statistics, Jhang Campus, University of Veterinary and Animal Sciences, Lahore, Pakistan;2. Department of Industrial and Management Engineering, POSTECH, Pohang, Republic of Korea;3. Department of Statistics, GC University, Lahore, Pakistan |
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| Abstract: | In this paper, a modified exponentially weighted moving average (EWMA) statistic is proposed. The approximate distribution of the proposed modified EWMA statistic is derived. A variable acceptance sampling plan is designed using the proposed EWMA statistic. The plan parameters of the proposed sampling plan are determined such that the given producer's risk and consumer's risk are satisfied. The efficiency of the proposed plan based on the new EWMA statistic is compared with the existing EWMA plan in terms of the sample size required. The application of the proposed plan is given with the help of an example. |
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| Keywords: | EWMA statistic sampling plan normal distribution risks. |
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