| Citation: |
Ronghua Wang, Beiqing Gu, Xiaoling Xu. STATISTICAL ANALYSIS OF PROGRESSIVE STRESS ACCELERATED LIFE TEST FOR THE PRODUCT OF TWO-PARAMETER LAPLACE BS FATIGUE LIFE DISTRIBUTION UNDER INVERSE POWER LAW MODEL[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2767-2786. doi: 10.11948/20200286
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STATISTICAL ANALYSIS OF PROGRESSIVE STRESS ACCELERATED LIFE TEST FOR THE PRODUCT OF TWO-PARAMETER LAPLACE BS FATIGUE LIFE DISTRIBUTION UNDER INVERSE POWER LAW MODEL
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Abstract
Based on the product of two-parameter Laplace Birnbaum-Saunders fatigue life distribution, its failure distribution mode is theoretically derived under the progressive stress accelerated life test with inverse power law model, and then three-parameter generalized Laplace Birnbaum-Saunders fatigue life distribution is introduced. The basic properties of three-parameter generalized Laplace Birnbaum-Saunders fatigue life distribution are analyzed, and the image characteristics of its density function, failure rate function and average failure rate function are investigated. Meanwhile, the point estimate method is given for three parameters, and then the point estimates of parameters are obtained for the product of two-parameter Laplace Birnbaum-Saunders fatigue life distribution under the progressive stress accelerated life test with inverse power law model. In addition, the practical example and simulation examples are illustrated to show the feasibility of the proposed method. -
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References
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Ronghua Wang, Beiqing Gu, Xiaoling Xu. STATISTICAL ANALYSIS OF PROGRESSIVE STRESS ACCELERATED LIFE TEST FOR THE PRODUCT OF TWO-PARAMETER LAPLACE BS FATIGUE LIFE DISTRIBUTION UNDER INVERSE POWER LAW MODEL[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2767-2786. doi: 10.11948/20200286
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Figure 1. Image of
$ f(x) $ with different parameter$ \alpha $ ($ \beta = 1, m = 0.75 $ ) -
Figure 2. Image of
$ f(x) $ with different parameter$ \alpha $ ($ \beta = 1, m = 4 $ ) -
Figure 3. Image of
$ f(x) $ with different parameter$ m $ ($ \alpha = 2, \beta = 1 $ ) -
Figure 4. Image of
$ f(x) $ with different parameter$ m $ ($ \alpha = 6, \beta = 1 $ ) -
Figure 5. Image of
$ \lambda(x) $ with different parameter$ \alpha $ ($ \beta = 1, m = 0.5 $ ) -
Figure 6. Image of
$ \lambda(x) $ with different parameter$ m $ ($ \alpha = 2, \beta = 1 $ ) -
Figure 7. Image of
$ \bar \lambda(x) $ with different parameter$ \alpha $ ($ \beta = 1, m = 0.5 $ ) -
Figure 8. Image of
$ \bar \lambda(x) $ with different parameter$ m $ ($ \alpha = 2, \beta = 1 $ ) -
Figure 9. Image of the function
$ g(\alpha) $