Affiliation:
1. Department of Electrical and Computer Engineering Effat University Jeddah Saudi Arabia
2. Department of Mathematics University of Edinburgh Edinburgh UK
3. Department of Natural Sciences, Mathematics, and Technology Effat University Jeddah Saudi Arabia
Abstract
AbstractIn accelerated life testing analysis with nonthermal accelerating stress, the inverse power law (IPL) is often solely merged with a particular lifetime probability distribution with a shape parameter. Although many fundamental lifetime distributions, such as the normal distribution, are excellent fits to the experimental lifetime data, they have not been considered as they lack the shape parameter. As such, this paper, for the first time, demonstrates that the shape parameter can be replaced by the coefficient of variation, allowing the use of normal distributions in this context. The work further introduces the IPL‐normal model in a rigorous mathematical setup that precisely leads to the least squares estimating equations and maximum likelihood estimates of the IPL‐normal accelerating parameters and the general coefficient of variation. The proposed model uses accelerated experimental data to successfully predict the lifetime of organic light‐emitting diodes (OLEDs) at use conditions. Based on these fundamentals, the predictions are benchmarked with prior works that were validated by market studies.
Subject
Management Science and Operations Research,Safety, Risk, Reliability and Quality