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Single acceptance sampling plans based on truncated lifetime tests for two-parameter Xgamma distribution with real
Ghadah Alomani1, Amer I Al-Omari2
1Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia.
Mathematical Biosciences and Engineering : MBE
|January 19, 2023
Summary
This study introduces modified acceptance sampling plans for the two-parameter Xgamma distribution (TPXGD), a new lifetime model. These plans are crucial for quality control in production and engineering, ensuring product reliability.
Area of Science:
- Statistics
- Engineering Quality Control
Background:
- The two-parameter Xgamma distribution (TPXGD) is a recently proposed lifetime distribution with growing applications.
- Acceptance sampling plans are vital statistical tools in manufacturing and engineering for quality assurance.
Purpose of the Study:
- To develop and investigate modified acceptance sampling plans specifically for the TPXGD.
- To utilize the mean of the TPXGD as a quality parameter within these sampling plans.
Main Methods:
- Proposed modified acceptance sampling plans for the TPXGD under a truncated lifetime assumption.
- Investigated key variables: acceptance numbers, minimum sample sizes, operating characteristic function, and producer's risk.
- Employed numerical examples and a real-data application for illustration.
Main Results:
- The study details the performance of the proposed sampling plans across various TPXGD parameter values.
- Demonstrated the practical application of these plans using real-world data analysis.
Conclusions:
- The developed modified acceptance sampling plans offer a robust framework for quality assessment using the TPXGD.
- These plans provide valuable tools for engineers and quality control professionals dealing with TPXGD-modeled data.
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