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Optimal double acceptance sampling plans based on truncated life tests for Tsallis q-exponential distributions
M Naghizadeh Qomi1, Arturo J Fernández2
1Department of Statistics, University of Mazandaran, Babolsar, Iran.
Journal of Applied Statistics
|December 4, 2024
Summary
New double sampling plans for lot acceptance reduce inspection effort using truncated life tests and a Tsallis q-exponential distribution. These plans outperform standard single sampling schemes, saving resources.
Area of Science:
- Statistics
- Quality Control
- Reliability Engineering
Background:
- Lot acceptance sampling is crucial for quality control.
- Truncated life tests are used when complete testing is infeasible.
- The Tsallis q-exponential distribution offers a flexible model for lifetime data.
Purpose of the Study:
- To develop optimal double sampling plans for lot acceptance.
- To minimize expected sample size under truncated life tests.
- To utilize the Tsallis q-exponential distribution for lifetime modeling.
Main Methods:
- Derivation of double sampling plans by minimizing expected sample size.
- Application of the Tsallis q-exponential distribution to model lifetime.
- Comparative analysis with existing single and double sampling plans.
Main Results:
- The proposed double sampling plans significantly reduce inspection effort compared to single sampling.
- The Tsallis q-exponential distribution effectively models lifetime data for these plans.
- Performance analysis through tables and figures demonstrates superiority over standard plans.
Conclusions:
- The developed double sampling scheme offers a more efficient approach to lot acceptance.
- This method provides substantial savings in inspection resources.
- The findings are supported by comparative studies and practical applications.
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