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Acceptance sampling plans from truncated life test based on Tsallis q-exponential distribution
Amjad D Al-Nasser1, Mohammed Obeidat1
1Department of Statistics, Science Faculty, Yarmouk University, Irbid, Jordan.
Journal of Applied Statistics
|June 16, 2022
Summary
This study introduces a new acceptance sampling plan for truncated life tests using the Tsallis q-exponential distribution. The proposed plan offers improved performance and practical industrial applications.
Area of Science:
- Statistics
- Quality Control
- Reliability Engineering
Background:
- Acceptance sampling plans are crucial for quality control in industries.
- Truncated life tests are common in reliability analysis.
- The Tsallis q-exponential distribution offers a flexible model for lifetime data.
Purpose of the Study:
- To propose a novel single acceptance sampling plan for truncated life tests.
- To utilize the Tsallis q-exponential distribution for quality characteristics.
- To evaluate the performance and applicability of the new plan.
Main Methods:
- Development of a single acceptance sampling plan based on truncated life tests.
- Derivation of the operation characteristics function.
- Calculation of optimal sample size and producer's risk.
- Comparative analysis with existing sampling plans.
Main Results:
- The proposed sampling plan's performance was evaluated using specific parameter values.
- The new plan demonstrated benefits when compared to other existing sampling plans.
- Real-world data analysis confirmed the practical utility of the proposed plan in industrial settings.
Conclusions:
- The developed single acceptance sampling plan is effective for truncated life tests under the Tsallis q-exponential distribution.
- The plan provides a valuable tool for quality assurance and reliability assessment in industry.
- The study highlights the advantages of using the Tsallis q-exponential distribution in acceptance sampling.
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