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Statistical Quality Control Limits for the Sample Mean Chart Using Robust Extreme Ranked Set Sampling

Author

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  • Al-Omari Amer Ibrahim

    (Department of Mathematics, Faculty of Science, Al al-Bayt University, P. O. Box 130095 Mafraq, 25113, Jordan.)

  • Al-Nasser Amjad D.

    (College of Business Administration, University of Dubai, Dubai, UAE.)

Abstract

In this paper, new quality control charts for the mean are considered using robust extreme ranked set sampling (RERSS) method. The new charts are compared with the classical control charts using simple random sampling (SRS) and ranked set sampling methods (RSS). It is found that the RERSS charts perform better than all other charts based on SRS and RSS methods in terms of their average run length (ARL).

Suggested Citation

  • Al-Omari Amer Ibrahim & Al-Nasser Amjad D., 2011. "Statistical Quality Control Limits for the Sample Mean Chart Using Robust Extreme Ranked Set Sampling," Stochastics and Quality Control, De Gruyter, vol. 26(1), pages 73-89, January.
    • Handle: RePEc:bpj:ecqcon:v:26:y:2011:i:1:p:73-89:n:7
    DOI: 10.1515/eqc.2011.007
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    References listed on IDEAS

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    1. Sinha Bimal K. & Sinha Bikas K. & Purkayastha Sumitra, 1996. "On Some Aspects Of Ranked Set Sampling For Estimation Of Normal And Exponential Parameters," Statistics & Risk Modeling, De Gruyter, vol. 14(3), pages 223-240, March.
    2. Hassen Muttlak & Walid Al-Sabah, 2003. "Statistical quality control based on ranked set sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(9), pages 1055-1078.
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    Cited by:

    1. Fatimah Alshahrani & Ibrahim M. Almanjahie & Majid Khan & Syed M. Anwar & Zahid Rasheed & Ammara N. Cheema, 2023. "On Designing of Bayesian Shewhart-Type Control Charts for Maxwell Distributed Processes with Application of Boring Machine," Mathematics, MDPI, vol. 11(5), pages 1-20, February.
    2. Abdul Haq & Amer Al-Omari, 2015. "A new Shewhart control chart for monitoring process mean based on partially ordered judgment subset sampling," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 1185-1202, May.

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