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Attribute Control Charts Based on TLT for Length‐Biased Weighted Lomax Distribution

Author

Listed:
  • Srinivasa Rao Gadde
  • Amer Ibrahim Al-Omari

Abstract

The length‐biased weighted Lomax distribution (LBWD) is a novel continuous of two parameters lifetime distribution. In this article, we introduced an attribute control chart (CC) for the lifetime of a product that follows the LBWD in terms of the number of failure items before a fixed time period is investigated. The performance of the suggested charts is investigated using in term of the average run length (ARL). The necessary tables of shift sizes and various sample sizes are offered for numerous values of the distribution parameters as well as specified ARL and shift constants. Some numerical examples are discussed for various scheme parameters to study the performance of the new LBWD attribute control charts.

Suggested Citation

  • Srinivasa Rao Gadde & Amer Ibrahim Al-Omari, 2022. "Attribute Control Charts Based on TLT for Length‐Biased Weighted Lomax Distribution," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:3091850
    DOI: 10.1155/2022/3091850
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    References listed on IDEAS

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    1. 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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