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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
Author(s) -
Ronghua Wang,
Beiqing Gu,
Xiaoling Xu
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20200286
Subject(s) - laplace transform , laplace distribution , mathematics , inverse laplace transform , power law , weibull distribution , accelerated life testing , inverse , power function , shape parameter , mathematical analysis , distribution (mathematics) , power (physics) , stress (linguistics) , statistics , physics , geometry , linguistics , philosophy , quantum mechanics
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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