A generalized linear model approach to designing accelerated life test experiments

Monroe, Eric M.; Pan, Rong; Anderson‐Cook, Christine M.; Montgomery, Douglas C.; Borror, Connie M.

doi:10.1002/qre.1143

Cited by 35 publications

(16 citation statements)

References 33 publications

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“…According to the substitution method given by Weerahandi [42], [43], we substitute for in the expression for and in (14) and (15); and we obtain the following generalized pivotal quantities for the parameters and .…”

Section: B Generalized Cis For Other Parametersmentioning

confidence: 99%

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New Inference for Constant-Stress Accelerated Life Tests With Weibull Distribution and Progressively Type-II Censoring

Wang

Sheng

2014

IEEE Trans. Rel.

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Constant-stress procedures based on parametric lifetime distributions and models are often used for accelerated life testing in product reliability experiments. Maximum likelihood estimation (MLE) is the typical statistical inference method. This paper presents a new inference method, named the random variable transformation (RVT) method, for Weibull constant-stress accelerated life tests with progressively Type-II right censoring (including ordinary Type-II right censoring). A two-parameter Weibull life distribution with a scale parameter that is a log-linear function of stress is used. RVT inference life distribution parameters and the log-linear function coefficientsare provided. Exact confidence intervals for these parameters are also explored. Numerical comparisons of RVT-based estimates to MLE show that the proposed RVT inference is promising, in particular for small sample sizes.

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Section: B Generalized Cis For Other Parametersmentioning

confidence: 99%

“…Tang and Liu [13] proposed a sequential CSALT, and discussed its inference procedure and test plan. Monroe et al [14] considered the design of the CSALT experiments based on a generalized linear model approach. Yu and Chang [15] applied a Bayesian model to average quantile estimation for CSALT.…”

mentioning

confidence: 99%

New Inference for Constant-Stress Accelerated Life Tests With Weibull Distribution and Progressively Type-II Censoring

Wang

Sheng

2014

IEEE Trans. Rel.

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“…On the prescriptive research side, Zhao and Elsayed developed the optimal ALT plans based on the proportional mean residual life while Monroe et al approached the ALT design under the generalized linear model framework. Tang and Liu developed a sequential ALT plan under Bayesian framework, and Kateri et al studied the optimal stress change time point for a simple step‐stress ALT under type II censoring.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of a simple step‐stress accelerated life test under progressive type I censoring with nonuniform durations for exponential lifetimes

Han

2019

Quality & Reliability Eng

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Thanks to continuously advancing technology and manufacturing processes, the products and devices are becoming highly reliable. However, performing the life tests of these products at normal operating conditions becomes extremely difficult, if not impossible, due to their long life spans. This can result in missed opportunities to introduce the products to the market in a timely manner and eventually loss of the market share. This problem is solved by accelerated life tests where the test units are subjected to higher stress levels than the normal usage level so that information on the lifetime parameters can be obtained more quickly. The lifetime at the design condition is then estimated through extrapolation using a regression model. In this work, the design optimization of a simple step-stress accelerated life test under progressive type I censoring is studied with nonuniform step durations for assessing the reliability characteristics of a solar lighting device. Allowing the intermediate censoring to take place at the stress change time point, the nature of the optimal stress duration is demonstrated under various design criteria including D-optimality, C-optimality, A-optimality, and E-optimality. The existence of these optimal designs is investigated in detail for exponential lifetimes with a single stress variable, and the effect of the intermediate censoring proportion is assessed on the design efficiency. KEYWORDS accelerated life tests, design of experiment, exponential distribution, Fisher information, progressive type I censoring, step-stress loading Qual Reliab Engng Int. 2019;35:1297-1312.wileyonlinelibrary.com/journal/qre

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“…Aitkin and Clayton first modeled lifetime data using GLM. Monroe et al applied the GLM approach to designing ALT experiments with right censoring. Yang and Pan and Pan and Yang expanded the GLM approach for optimal ALT planning with the interval censoring strategy.…”

Section: Introductionmentioning

confidence: 99%

Planning accelerated life tests with random effects of test chambers

Seo

Pan

2017

Appl Stoch Models Bus & Ind

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In accelerated life tests (ALTs), test units are often tested in multiple test chambers along with different stress conditions. The nonhomogeneity of test chambers precludes the complete randomized experiment and may affect the life-stress relationship of the test product. The chamber-to-chamber variation should be taken into account for ALT planning so as to obtain more accurate test results. In this paper, planning ALTs under a nested experimental design structure with random test chamber effects is studied. First, by a 2-phase approach, we illustrate to what extent different test chamber assignments to stress conditions may impact the estimation of unknown parameters. Then, D-optimal test plans with 2 test chambers are considered. To construct the optimal design, we establish the generalized linear mixed model for failure-time data and apply a quasi-likelihood method, where test chamber assignments, as well as other decision variables that are required for planning ALTs, are simultaneously determined. KEYWORDSaccelerated life tests, D-optimal design, generalized linear mixed model, nested experimental design, random effects, test chamber assignment 224

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A generalized linear model approach to designing accelerated life test experiments

Cited by 35 publications

References 33 publications

New Inference for Constant-Stress Accelerated Life Tests With Weibull Distribution and Progressively Type-II Censoring

New Inference for Constant-Stress Accelerated Life Tests With Weibull Distribution and Progressively Type-II Censoring

Optimal design of a simple step‐stress accelerated life test under progressive type I censoring with nonuniform durations for exponential lifetimes

Planning accelerated life tests with random effects of test chambers

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