IDEAS home Printed from https://ideas.repec.org/a/spr/qualqt/v58y2024i5d10.1007_s11135-024-01830-z.html
   My bibliography  Save this article

Auxiliary information based HEWMA chart using variable sampling interval

Author

Listed:
  • Peh Sang Ng

    (Universiti Tunku Abdul Rahman)

  • Wai Chung Yeong

    (Sunway University)

  • Sajal Saha

    (International University of Business Agriculture and Technology)

  • Sok Li Lim

    (Taylor’s University)

  • Wai Kwan Lau

    (Universiti Tunku Abdul Rahman)

Abstract

The use of auxiliary information concept (AIC) and variable sampling interval (VSI) feature in control charts is shown to enhance the sensitivity of the charts in out-of-control detection. In this paper, the VSI hybrid exponentially weighted moving average (HEWMA) chart based on auxiliary information (denoted as the VSI AIC-HEWMA) for the process mean is proposed, where two levels of sampling interval are considered, with test statistic that considers both information from the study and auxiliary characteristics. Monte-Carlo simulation is used to compute the average time to signal (ATS), standard deviation of the time to signal (SDTS) and expected ATS (EATS) of the chart. The VSI AIC-HEWMA chart is then compared with the auxiliary information based variable sampling interval exponentially weighted moving average (VSI AIC-EWMA) and AIC-HEWMA charts. Results show that the VSI AIC-HEWMA chart is more sensitive than the competing charts for all sizes of shift in out-of-control detection, by having the smallest out-of-control ATS and EATS values.

Suggested Citation

  • Peh Sang Ng & Wai Chung Yeong & Sajal Saha & Sok Li Lim & Wai Kwan Lau, 2024. "Auxiliary information based HEWMA chart using variable sampling interval," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(5), pages 4301-4329, October.
    • Handle: RePEc:spr:qualqt:v:58:y:2024:i:5:d:10.1007_s11135-024-01830-z
    DOI: 10.1007/s11135-024-01830-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11135-024-01830-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11135-024-01830-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Maravelakis, Petros & Panaretos, John & Psarakis, Stelios, 2005. "An Examination of the Robustness to Non Normality of the EWMA Control Charts for the Dispersion," MPRA Paper 6396, University Library of Munich, Germany.
    2. Nasir Abbas & Muhammad Riaz & Ronald J. M. M. Does, 2014. "An EWMA-Type Control Chart for Monitoring the Process Mean Using Auxiliary Information," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(16), pages 3485-3498, August.
    3. Muhammad Riaz, 2008. "Monitoring process mean level using auxiliary information," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(4), pages 458-481, November.
    4. Ali Salmasnia & Mohammadreza Namdar & Mina Abolfathi & Parinaz Ajaly, 2021. "Statistical design of a VSI-EWMA control chart for monitoring the communications among individuals in a weighted social network," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(3), pages 495-508, June.
    5. M. Mahdizadeh & Ehsan Zamanzade, 2021. "Smooth estimation of the area under the ROC curve in multistage ranked set sampling," Statistical Papers, Springer, vol. 62(4), pages 1753-1776, August.
    6. Ehsan Zamanzade & M. Mahdizadeh & Hani M. Samawi, 2020. "Efficient estimation of cumulative distribution function using moving extreme ranked set sampling with application to reliability," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(3), pages 485-502, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jen-Hsiang Chen & Shin-Li Lu, 2022. "Economic-Statistical Performance of Auxiliary Information-Based Maximum EWMA Charts for Monitoring Manufacturing Processes," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
    2. Muhammad Aslam & Nasrullah Khan & Chi-Hyuck Jun, 2016. "A control chart using belief information for a gamma distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(4), pages 5-19.
    3. Muhammad Riaz & Ronald Does, 2009. "A process variability control chart," Computational Statistics, Springer, vol. 24(2), pages 345-368, May.
    4. Su-Fen Yang & Li-Pang Chen & Cheng-Kuan Lin, 2023. "Adjustment of Measurement Error Effects on Dispersion Control Chart with Distribution-Free Quality Variable," Sustainability, MDPI, vol. 15(5), pages 1-19, February.
    5. Shahid Hussain & Sun Mei & Muhammad Riaz & Saddam Akber Abbasi, 2020. "On Phase-I Monitoring of Process Location Parameter with Auxiliary Information-Based Median Control Charts," Mathematics, MDPI, vol. 8(5), pages 1-21, May.
    6. Jiahui Zhao & Nan Jiang & Kanglu Pei & Jie Wen & Hualin Zhan & Ziang Tu, 2024. "TPoison: Data-Poisoning Attack against GNN-Based Social Trust Model," Mathematics, MDPI, vol. 12(12), pages 1-16, June.
    7. Vasileios Alevizakos & Arpita Chatterjee & Kashinath Chatterjee & Christos Koukouvinos, 2024. "The exponentiated exponentially weighted moving average control chart," Statistical Papers, Springer, vol. 65(6), pages 3853-3891, August.
    8. M. Mahdizadeh & Ehsan Zamanzade, 2022. "New insights on goodness-of-fit tests for ranked set samples," Statistical Papers, Springer, vol. 63(6), pages 1777-1799, December.
    9. Mohamed S. Abdallah & Amer I. Al-Omari & Naif Alotaibi & Ghadah A. Alomani & A. S. Al-Moisheer, 2022. "Estimation of distribution function using L ranked set sampling and robust extreme ranked set sampling with application to reliability," Computational Statistics, Springer, vol. 37(5), pages 2333-2362, November.
    10. Mehwish Butt & Hafiza Farwa Amin & Javed Iqbal & Maqbool Hussain Sial & Najam-ul Hassan & Mueen-ud-Din Azad, 2023. "Homogeneously Weighted Moving Average Control Chart for Rayleigh Distribution," Bulletin of Business and Economics (BBE), Research Foundation for Humanity (RFH), vol. 12(3), pages 366-384.
    11. Muhammad Aslam & Syed Masroor Anwar, 2020. "An improved Bayesian Modified-EWMA location chart and its applications in mechanical and sport industry," PLOS ONE, Public Library of Science, vol. 15(2), pages 1-19, February.
    12. Zeinab Akbari Ghamsari & Ehsan Zamanzade & Majid Asadi, 2024. "Using nomination sampling in estimating the area under the ROC curve," Computational Statistics, Springer, vol. 39(5), pages 2721-2742, July.
    13. Maroua Said & Khaoula ben Abdellafou & Okba Taouali, 2020. "Machine learning technique for data-driven fault detection of nonlinear processes," Journal of Intelligent Manufacturing, Springer, vol. 31(4), pages 865-884, April.
    14. Ying Zhou & Liang Wang & Tzong-Ru Tsai & Yogesh Mani Tripathi, 2023. "Estimation of Dependent Competing Risks Model with Baseline Proportional Hazards Models under Minimum Ranked Set Sampling," Mathematics, MDPI, vol. 11(6), pages 1-30, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:qualqt:v:58:y:2024:i:5:d:10.1007_s11135-024-01830-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.