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Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution
Harsh Tripathi1, Sanku Dey2, Mahendra Saha1
1Department of Statistics, Central University of Rajasthan, Bandarsindri, India.
Journal of Applied Statistics
|June 16, 2022
Summary
This study presents new double and group acceptance sampling plans for time-truncated item lifetimes following the inverse log-logistic (ILL) distribution. These plans offer efficient quality assessment compared to traditional single sampling methods.
Area of Science:
- Quality Control
- Statistical Inference
- Reliability Engineering
Background:
- Acceptance sampling plans are crucial for quality assessment in manufacturing and reliability.
- The inverse log-logistic (ILL) distribution is a flexible model for lifetime data.
- Existing sampling plans may not be optimal for time-truncated ILL distributed lifetimes.
Purpose of the Study:
- To develop and evaluate double and group acceptance sampling plans for time-truncated lifetimes.
- To provide operating characteristic (OC) function and average sample number (ASN) values for the proposed plans.
- To compare the efficiency of the new plans against single acceptance sampling plans.
Main Methods:
- Development of double and group acceptance sampling plans under time-truncated conditions.
- Utilizing the inverse log-logistic (ILL) distribution with a known shape parameter.
- Calculation of operating characteristic (OC) function and average sample number (ASN) values.
- Comparative analysis of sample sizes between single and double acceptance sampling plans.
Main Results:
- The paper provides OC function and ASN values for the double acceptance sampling plan.
- Minimum group numbers and OC function values for various quality levels are determined for the group acceptance sampling plan.
- The study demonstrates that double acceptance sampling plans can be more sample-size efficient than single plans.
Conclusions:
- The proposed double and group acceptance sampling plans are applicable for quality parameters following the ILL distribution.
- These plans offer practical tools for quality control in scenarios with time-truncated data.
- The findings support the use of advanced sampling strategies for improved efficiency and reliability assessment.
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