IEEE Transactions on Reliability · 1998 · 126 citations · 7 references
Public HealthBiostatisticsEpidemiologic MethodsRisk AssessmentSurvival AnalysisCensoring MechanismsParametric Survival ModelsStress TestingSurvival ModelingTime-to-event AnalysisAccelerated Life TestingCensored Data ModelingCumulative ExposureMaximum Likelihood EstimatorPivotal QuantitiesSample Size CalculationSample Size EstimationType Ii Censoring
The model assumes an exponential life distribution whose mean is a log‑linear function of stress, combined with a cumulative exposure model. The study develops inference procedures for parameters of a simple step‑stress accelerated life‑testing model under type‑II censoring. Maximum‑likelihood estimation, hypothesis testing, and pivotal‑quantity confidence intervals are employed, and a numerical example demonstrates the procedure. These results hold for any sample size, offering broad applicability.
This paper presents the inferences of parameters on the simple step-stress model in accelerated life testing with type-II censoring. An exponential life distribution with a mean that is a log-linear function of stress, and a cumulative exposure model are assumed. Maximum likelihood methods are used to estimate the parameters of these models. Hypothesis tests about model parameters are discussed. Confidence intervals for parameter-estimates are constructed using a pivotal quantity. The advantage of these results is that they apply to any sample size. A numerical example illustrates the inferential procedure.
7
Statistical Models and Methods for Lifetime Data.
Brian Francis, Jerald F. Lawless · Biometrics · 1983 · 2.8K citations
Public Health, Biostatistics, Aging +13