| Citation: |
Ronghua Wang, Xiaoling Xu, Beiqing Gu. STATISTICAL ANALYSIS OF TWO-PARAMETER GENERALIZED BIRNBAUM-SAUNDERS CAUCHY DISTRIBUTION[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1614-1635. doi: 10.11948/20190293
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STATISTICAL ANALYSIS OF TWO-PARAMETER GENERALIZED BIRNBAUM-SAUNDERS CAUCHY DISTRIBUTION
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Abstract
The image features of density function and failure rate function are studied in detail for two-parameter generalized Birnbaum-Saunders Cauchy fatigue life distribution. The logarithmic moment estimation and other two point estimations of parameters are proposed under full sample, and the precisions of point estimations are investigated by Monte-Carlo simulations. The approximate interval estimations of parameters are given by using Taylor expansion, and the precisions of approximate interval estimations are investigated by Monte-Carlo simulations. Finally, several examples show the feasibility of the methods. -
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References
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Ronghua Wang, Xiaoling Xu, Beiqing Gu. STATISTICAL ANALYSIS OF TWO-PARAMETER GENERALIZED BIRNBAUM-SAUNDERS CAUCHY DISTRIBUTION[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1614-1635. doi: 10.11948/20190293
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- Figure 1. Image of $ h(\alpha) $ in the interval $ (0, \sqrt {7/3}] $.
- Figure 2. $ \alpha = 0.25 $
- Figure 3. $ \alpha=0.5 $
- Figure 4. $ \alpha=0.75 $
- Figure 5. $ \alpha=0.8 $
- Figure 6. $ \alpha=0.85 $
- Figure 7. $ \alpha=0.9 $
- Figure 8. $ \alpha=0.95 $
- Figure 9. $ \alpha=1$
- Figure 10. $ \alpha=1.5 $
- Figure 11. $ \alpha = 2 $
- Figure 12. $ \alpha = 0.1 $
- Figure 13. $ \alpha=0.2 $
- Figure 14. $ \alpha=0.3 $
- Figure 15. $ \alpha=0.4 $
- Figure 16. $ \alpha=0.5 $
- Figure 17. $ \alpha=0.6 $
- Figure 18. $ \alpha=0.7 $
- Figure 19. $ \alpha=0.8 $
- Figure 20. $ \alpha=0.9 $
- Figure 21. $ \alpha=1 $
- Figure 22. $ \alpha=1.1 $
- Figure 23. $ \alpha=1.15 $
- Figure 24. $ \alpha=1.2 $
- Figure 25. $ \alpha=1.3 $
- Figure 26. $ \alpha=1.4 $
- Figure 27. $ \alpha=1.5 $
- Figure 28. $ \alpha=1.6 $
- Figure 29. $ \alpha=1.7 $
- Figure 30. $ \alpha=1.8 $
- Figure 31. $ \alpha=1.9 $
- Figure 32. $ \alpha=2 $
- Figure 33. $ \alpha=2.5 $
- Figure 34. $ \alpha=3$
- Figure 35. $ \alpha=5 $