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Physical Sciences and Mathematics Commons

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Mathematics

Texas A&M University-San Antonio

Mathematics Faculty Publications

2022

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Full-Text Articles in Physical Sciences and Mathematics

Optimal Test Plan Of Step Stress Partially Accelerated Life Testing For Alpha Power Inverse Weibull Distribution Under Adaptive Progressive Hybrid Censored Data And Different Loss Functions, Refah Alotaibi, Ehab M. Almetwally, Qiuchen Hai, Hoda Rezk Dec 2022

Optimal Test Plan Of Step Stress Partially Accelerated Life Testing For Alpha Power Inverse Weibull Distribution Under Adaptive Progressive Hybrid Censored Data And Different Loss Functions, Refah Alotaibi, Ehab M. Almetwally, Qiuchen Hai, Hoda Rezk

Mathematics Faculty Publications

Accelerated life tests are used to explore the lifetime of extremely reliable items by subjecting them to elevated stress levels from stressors to cause early failures, such as temperature, voltage, pressure, and so on. The alpha power inverse Weibull (APIW) distribution is of great significance and practical applications due to its appealing characteristics, such as its flexibilities in the probability density function and the hazard rate function. We analyze the step stress partially accelerated life testing model with samples from the APIW distribution under adaptive type II progressively hybrid censoring. We first obtain the maximum likelihood estimates and two types …