Details

Autor(en) / Beteiligte

• Zhou, Xiao‐Dong
• Wang, Yun‐Juan
• Wu, Lin
• Yue, Rong‐Xian

Titel

Data analysis for accelerated life tests via Weibull‐gamma frailty regression models

Ist Teil von

• Applied stochastic models in business and industry, 2023-07, Vol.39 (4), p.567-583

Ort / Verlag

Bognor Regis: Wiley Subscription Services, Inc

Erscheinungsjahr

2023

Quelle

Wiley-Blackwell Journals

Beschreibungen/Notizen

• In this article, we study data analysis methods for accelerated life test (ALT) with blocking. Unlike the previous assumption of normal distribution for random block effects, we advocate the use of Weibull regression model with gamma random effects for making statistical inference of ALT data. To estimate the unknown parameters in the proposed model, maximum likelihood estimation and Bayesian estimation methods are provided. We illustrate the proposed methods using real data examples and simulation examples. Numerical results suggest that distribution of random effects has minimal impact on the estimation of fixed effects in the Weibull regression models. Furthermore, to demonstrate the advantage of our proposed model, we also provide methods to compare ALT plans and thus identify the optimal ALT plans.