Abstract:

An accelerated proportional degradation hazards-odds model is proposed. It is a non-parametric model and thus has pathfree and distribution-free properties, avoiding the errors caused by faulty assumptions of degradation paths or distribution of degradation measurements. It is established based on a link function which combines the degradation cumulative hazard rate function and the degradation odds function through a transformation parameter, and this makes the accelerated proportional degradation hazards model and the accelerated proportional degradation odds model special cases of it. Hypothesis tests are discussed, and the proposed model is applicable when some model assumptions are satisfied. This model is utilized to estimate the reliability of miniature bulbs under low stress levels based on the degradation data obtained under high stress levels to validate the effectiveness of this model.

Key words: accelerated proportional degradation hazards (APDH), accelerated proportional degradation odds (APDO), link function, non-parametric model, accelerated degradation test (ADT), reliability estimation