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Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple Dependent Scheme

Author

Listed:
  • Muhammad Aslam

    (Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia)

  • Gadde Srinivasa Rao

    (Department of Mathematics and Statistics, University of Dodoma, Dodoma P.O. Box 259, Tanzania)

  • Mohammed Albassam

    (Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia)

Abstract

The purpose of this paper is to develop a multiple dependent state (MDS) sampling plan based on time-truncated sampling schemes for the daily number of cases of the coronavirus disease COVID-19 using gamma distribution under indeterminacy. The proposed sampling scheme parameters include average sample number (ASN) and accept and reject sample numbers when the indeterminacy parameter is known. In addition to the parameters of the proposed sampling schemes, the resultant tables are provided for different known indeterminacy parametric values. The outcomes resulting from various sampling schemes show that the ASN decreases as indeterminacy values increase. This shows that the indeterminacy parameter plays a vital role for the ASN. A comparative study between the proposed sampling schemes and existing sampling schemes based on indeterminacy is also discussed. The projected sampling scheme is illustrated with the help of the daily number of cases of COVID-19 data. From the results and real example, we conclude that the proposed MDS sampling scheme under indeterminacy requires a smaller sample size compared to the single sampling plan (SSP) and the existing MDS sampling plan.

Suggested Citation

  • Muhammad Aslam & Gadde Srinivasa Rao & Mohammed Albassam, 2022. "Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple Dependent Scheme," IJERPH, MDPI, vol. 19(9), pages 1-14, April.
    • Handle: RePEc:gam:jijerp:v:19:y:2022:i:9:p:5308-:d:803319
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    References listed on IDEAS

    as
    1. Balamurali, S. & Jun, Chi-Hyuck, 2007. "Multiple dependent state sampling plans for lot acceptance based on measurement data," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1221-1230, August.
    2. To-Cheng Wang & Chien-Wei Wu & Ming-Hung Shu, 2022. "A variables-type multiple-dependent-state sampling plan based on the lifetime performance index under a Weibull distribution," Annals of Operations Research, Springer, vol. 311(1), pages 381-399, April.
    3. R. R. L. Kantam & K. Rosaiah & G. Srinivasa Rao, 2001. "Acceptance sampling based on life tests: Log-logistic model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 121-128.
    4. Ahmed Ibrahim Shawky & Muhammad Aslam & Khushnoor Khan & Francisco Balibrea, 2020. "Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics," Journal of Mathematics, Hindawi, vol. 2020, pages 1-14, August.
    5. Muhammad Aslam & P. Jeyadurga & Saminathan Balamurali & Ali Hussein AL-Marshadi, 2019. "Time-Truncated Group Plan under a Weibull Distribution based on Neutrosophic Statistics," Mathematics, MDPI, vol. 7(10), pages 1-11, September.
    6. Tzong-Ru Tsai & Shuo-Jye Wu, 2006. "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 595-600.
    7. Ching-Ho Yen & Chun-Chia Lee & Kuo-Hung Lo & Yeou-Ren Shiue & Shu-Hua Li, 2020. "A Rectifying Acceptance Sampling Plan Based on the Process Capability Index," Mathematics, MDPI, vol. 8(1), pages 1-12, January.
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