A tampered Brownian motion process model for partial step-stress accelerated life testing |
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| Institution: | 1. School of Information Science and Engineering, Shandong Normal University, Jinan, 250358, China;2. School of Software, Shandong University, Jinan, 250101, China;3. Shandong Provincial Key Laboratory of Software Engineering, Shandong University, Jinan, 250101, China;1. Neuromuscular and Neurogenetic Disorders of Childhood Section, Neurogenetics Branch, National Institute of Neurological Disorders and Stroke, National Institutes of Health, Bethesda, MD 20892-3705, USA;2. Department of Veterinary and Biomedical Sciences, College of Veterinary Medicine, University of Minnesota, Saint Paul, MN, USA;3. Department of Veterinary Clinical Sciences, College of Veterinary Medicine, University of Minnesota, Saint Paul, MN, USA;4. Department of Pathology, School of Medicine, University of California San Diego, La Jolla, CA 92093-0709, USA;5. Veterinary Specialties, Pattersonville, NY, USA;6. Royal (Dick) School of Veterinary Studies, University of Edinburgh, United Kingdom |
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| Abstract: | In partial step-stress accelerated life testing, models extrapolating data obtained under more severe conditions to infer the lifetime distribution under normal use conditions are needed. Bhattacharyya (Invited paper for 46th session of the ISI, 1987) proposed a tampered Brownian motion process model and later derived the probability distribution from a decay process perspective without linear assumption. In this paper, the model is described and the features of the failure time distribution are discussed. The maximum likelihood estimates of the parameters in the model and their asymptotic properties are presented. An application of models for step-stress accelerated life test to fields other than engineering is described and illustrated by applying the tampered Brownian motion process model to data taken from a clinical trial. |
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