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Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple
Muhammad Aslam1, Gadde Srinivasa Rao2, Mohammed Albassam1
1Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia.
This study introduces a new multiple dependent state (MDS) sampling plan for COVID-19 case data using time-truncated schemes and gamma distribution under indeterminacy. The proposed plan requires a smaller sample size than existing methods.
Area of Science:
- Statistics
- Epidemiology
- Public Health
Background:
- The daily number of COVID-19 cases exhibits variability and uncertainty.
- Accurate and efficient sampling plans are crucial for monitoring disease spread.
- Existing sampling plans may not fully account for indeterminacy in case data.
Purpose of the Study:
- To develop a novel multiple dependent state (MDS) sampling plan for COVID-19 daily cases.
- To incorporate time-truncated sampling schemes and gamma distribution under indeterminacy.
- To compare the efficiency of the proposed plan with existing single sampling plans (SSP) and MDS plans.
Main Methods:
- Development of a multiple dependent state (MDS) sampling plan.
- Application of time-truncated sampling schemes.
- Utilizing gamma distribution under conditions of indeterminacy.
- Calculation of average sample number (ASN) and accept/reject criteria.
Main Results:
- The proposed MDS sampling scheme effectively handles indeterminacy in COVID-19 case data.
- Average sample number (ASN) decreases as indeterminacy values increase, highlighting the parameter's importance.
- The proposed MDS plan requires a smaller sample size compared to SSP and existing MDS plans.
Conclusions:
- The developed MDS sampling plan under indeterminacy is more efficient for COVID-19 surveillance.
- Indeterminacy is a significant factor influencing the average sample number (ASN).
- The proposed plan offers a more sample-size-efficient approach for monitoring daily COVID-19 cases.
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