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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Authors: | Ronghua Wang Beiqing Gu Xiaoling Xu |
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Affiliation: | Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China;School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China |
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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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Keywords: | Two-parameter Laplace BS fatigue life distribution progressive stress accelerated life test inverse power law model three-parameter generalized Laplace BS fatigue life distribution point estimate. |
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