IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/4035011.html
   My bibliography  Save this article

Robust Distribution-Free Hybrid Exponentially Weighted Moving Average Schemes Based on Simple Random Sampling and Ranked Set Sampling Techniques

Author

Listed:
  • Jean-Claude Malela-Majika
  • Sandile C. Shongwe
  • Muhammad Aslam
  • Saddam A. Abbasi

Abstract

This paper proposes new nonparametric hybrid exponentially weighted moving average (HEWMA) control charts based on simple random sampling (SRS) and ranked set sampling (RSS) techniques using the Wilcoxon rank-sum statistic. The in-control robustness and out-of-control (OOC) performances are thoroughly investigated using extensive simulations. The HEWMA chart is shown to be superior to the basic exponentially weighted moving average (EWMA) and double EWMA charts in many cases under normal and nonnormal distributions. Moreover, the OOC sensitivities of the new HEWMA - type control charts are further improved by using supplementary 2 -of- 2 and 2 -of- 3 standard and improved runs-rules approaches. It is found that the proposed HEWMA - type charts with runs-rules perform better than the basic HEWMA SRS and RSS charts. Real-life data based on the impurity of iron ore are used to illustrate the design and implementation of the new control charts.

Suggested Citation

  • Jean-Claude Malela-Majika & Sandile C. Shongwe & Muhammad Aslam & Saddam A. Abbasi, 2021. "Robust Distribution-Free Hybrid Exponentially Weighted Moving Average Schemes Based on Simple Random Sampling and Ranked Set Sampling Techniques," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-21, July.
    • Handle: RePEc:hin:jnlmpe:4035011
    DOI: 10.1155/2021/4035011
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/4035011.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/4035011.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/4035011?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:4035011. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.