15–19 Sept 2024
Leuven, Belgium
Europe/Berlin timezone

Acceleration Invariance Principle for Hougaard Processes in Degradation Analysis

18 Sept 2024, 09:00
20m
Conference room 2

Conference room 2

Reliability and Safety Reliability and Safety

Speaker

Chien-Yu Peng (Academia Sinica)

Description

Accelerated degradation tests (ADTs) are widely used to assess lifetime information under normal use conditions for highly reliable products. For the accelerated tests, two basic assumptions are that changing stress levels does not affect the underlying distribution family and that there is stochastic ordering for the life distributions at different stress levels. The acceleration invariance (AI) principle for ADTs is proposed to study these fundamental assumptions. Using the AI principle, a theoretical connection between the model parameters and the accelerating variables is developed for Hougaard processes. This concept can be extended to heterogeneous gamma and inverse Gaussian processes. Simulation studies are presented to support the applicability and flexibility of the Hougaard process using the AI principle for ADTs. A real data analysis using the derived relationship is used to validate the AI principle for accelerated degradation analysis.

Type of presentation Talk
Classification Both methodology and application
Keywords acceleration factor, random effects, stochastic ordering

Primary author

Chien-Yu Peng (Academia Sinica)

Presentation materials

There are no materials yet.