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Experimental Designs for Accelerated Degradation Tests Based on Linear Mixed Effects Models
Applications · Submitted 18 Feb 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We derive optimal experimental designs for minimizing the asymptotic variance for estimating the median failure time under normal use conditions when the time points for measurements are either fixed in advance or are also to be optimized.
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The abstract, sentence by sentence
Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. There data from particular tests at high levels of stress (e.\,g.\ temperature, voltage, or vibration) are extrapolated, through a physically meaningful model, to obtain estimates of lifetime quantiles under normal use conditions. In this work, we consider repeated measures accelerated degradation tests with multiple stress variables, where the degradation paths are assumed to follow a linear mixed effects model which is quite common in settings when repeated measures are made. We derive optimal experimental designs for minimizing the asymptotic variance for estimating the median failure time under normal use conditions when the time points for measurements are either fixed in advance or are also to be optimized.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. | background 1.00 | 0.05 | 0.04 | asserted 1.00 |
| s1 | There data from particular tests at high levels of stress (e.\,g.\ temperature, voltage, or vibration) are extrapolated, through a physically meaningful model, to obtain estimates of lifetime quantiles under normal use conditions. | background 0.90 | 0.06 | 0.03 | asserted 1.00 |
| s2 | In this work, we consider repeated measures accelerated degradation tests with multiple stress variables, where the degradation paths are assumed to follow a linear mixed effects model which is quite common in settings when repeated measures are made. | method 0.66 | 0.30 | 0.06 | asserted 0.88 |
| s3 | We derive optimal experimental designs for minimizing the asymptotic variance for estimating the median failure time under normal use conditions when the time points for measurements are either fixed in advance or are also to be optimized. | contribution 0.98 | 0.96 | 0.59 | asserted 1.00 |
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The paper
Original abstract
Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. There data from particular tests at high levels of stress (e.\,g.\ temperature, voltage, or vibration) are extrapolated, through a physically meaningful model, to obtain estimates of lifetime quantiles under normal use conditions. In this work, we consider repeated measures accelerated degradation tests with multiple stress variables, where the degradation paths are assumed to follow a linear mixed effects model which is quite common in settings when repeated measures are made. We derive optimal experimental designs for minimizing the asymptotic variance for estimating the median failure time under normal use conditions when the time points for measurements are either fixed in advance or are also to be optimized.
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How the literature uses it
3 arXiv papers cite this in 22 sentences
Papers citing it · 19 sentences without a confident label
Uses its method or tool 1 paper
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In this section, we introduce a mixed effects regression model incorporating a product-type structure as in [ref] .
Optimal Time Plan in Accelerated Degradation Testing · Formulation of the model · 0.90
Cites it as background 2 papers
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For further details of the linear mixed model see [ref] .
Optimal Stress Levels in Accelerated Degradation Testing for Various Degradation Models · Information for the second degradation component: Linear mixed model · 0.91
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[ref] charachterized optimal designs for repeated measures accelerated degradation tests with multiple stress variables, where the degradation paths are assumed to follow a linear mixed effects.
Optimal Time Plan in Accelerated Degradation Testing · Introduction · 0.89
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