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AIMS Mathematics

2023, Volume 8, Issue 6: 14558-14571. doi: 10.3934/math.2023744
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Uncertainty-based sampling plans for various statistical distributions

  • 1.
    College of Statistical Sciences, University of the Punjab Lahore, Pakistan
  • 2.
    Department of Mathematics and Statistics, CNMS, The University of Dodoma, Dodoma, P.O. Box: 259, Tanzania
  • 3.
    Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia
  • Received: 08 November 2022 Revised: 28 February 2023 Accepted: 22 March 2023 Published: 19 April 2023

  • MSC : 62A86

  • This research work appertains to the acceptance sampling plan under the neutrosophic statistical interval method (ASP-NSIM) based on gamma distribution (GD), Burr type XII distribution (BXIID) and the Birnbaum-Saunders distribution (BSD). The plan parameters will be determined using the neutrosophic non-linear optimization problem. We will provide numerous tables for the three distributions using various values of shape parameters and degree of indeterminacy. The efficiency of the proposed ASP-NSIM will be discussed over the existing sampling plan in terms of sample size. The application of the proposed ASP-NSIM will be given with the aid of industrial data.

    Citation: Nasrullah Khan, Gadde Srinivasa Rao, Rehan Ahmad Khan Sherwani, Ali Hussein AL-Marshadi, Muhammad Aslam. Uncertainty-based sampling plans for various statistical distributions[J]. AIMS Mathematics, 2023, 8(6): 14558-14571. doi: 10.3934/math.2023744

    Related Papers:

  • This research work appertains to the acceptance sampling plan under the neutrosophic statistical interval method (ASP-NSIM) based on gamma distribution (GD), Burr type XII distribution (BXIID) and the Birnbaum-Saunders distribution (BSD). The plan parameters will be determined using the neutrosophic non-linear optimization problem. We will provide numerous tables for the three distributions using various values of shape parameters and degree of indeterminacy. The efficiency of the proposed ASP-NSIM will be discussed over the existing sampling plan in terms of sample size. The application of the proposed ASP-NSIM will be given with the aid of industrial data.


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