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Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length

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  • Huay Woon You

Abstract

A synthetic double sampling (SDS) chart is commonly evaluated based on the assumption that process parameters (namely, mean and standard deviation) are known. However, the process parameters are usually unknown and must be estimated from an in-control Phase-I dataset. This will lead to deterioration in the performance of a control chart. The average run length (ARL) has been implemented as the common performance measure in process monitoring of the SDS chart. Computation of ARL requires practitioners to determine shift size in advance. However, this requirement is too restricted as practitioners may not have the experience to specify the shift size in advance. Thus, the expected average run length (EARL) is introduced to assess the performance of the SDS chart when the shift size is random. In this paper, the SDS chart, with known and estimated process parameters, was evaluated based on EARL and compared with the performance measure, ARL.

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  • Huay Woon You, 2018. "Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length," Journal of Probability and Statistics, Hindawi, vol. 2018, pages 1-6, May.
    • Handle: RePEc:hin:jnljps:7583610
    DOI: 10.1155/2018/7583610
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    Cited by:

    1. Moi Hua Tuh & Cynthia Mui Lian Kon & Hong Siang Chua & Man Fai Lau & Yee Hui Robin Chang, 2023. "Evaluating the Performance of Synthetic Double Sampling np Chart Based on Expected Median Run Length," Mathematics, MDPI, vol. 11(3), pages 1-23, January.

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