Abstract
This paper introduces a novel approach to life-testing using Extended Dagum (EXD) percentiles within the framework of group inspection plans. The methodology focuses on optimizing sample sizes and analyzing termination time ratios to enhance the reliability of quality control procedures. By leveraging the flexibility of the EXD distribution, the proposed approach accurately models complex survival data, accommodating heavy-tailed characteristics often encountered in practice. The study presents a detailed analysis of optimal sample sizes and the critical termination time ratios that balance producer and consumer risks. Through comprehensive simulations and real applications, the paper demonstrates the effectiveness of the proposed methodology in ensuring robust and efficient life-testing strategies, offering valuable insights for practitioners in industries such as manufacturing, engineering, and reliability analysis.
| Original language | English |
|---|---|
| Article number | 24144 |
| Journal | Scientific Reports |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 2024 |
| Externally published | Yes |
Keywords
- Amputated testing
- Average group number
- Average sample number
- Extended Dagum distribution
- Multiple group sampling inspection plans with three and four steps
- Operating characteristic function
- Producer’s risk
