HOW DO HETEROGENEITIES IN OPERATING ENVIRONMENTS AFFECT FIELD FAILURE PREDICTIONS AND TEST PLANNING?

• 成果类型: Article
• 署名作者: Ye, Zhi-Sheng; Hong, Yili; Xie, Yimeng
• 署名单位: Hong Kong Polytechnic University; Virginia Polytechnic Institute & State University
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/13-AOAS666
• 发表日期: 2013
• 页码: 2249-2271
• 关键词: accelerated life tests; test plans; burn-in; parameters; reliability; PRODUCTS; weibull; models; robust; sold

摘要

The main objective of accelerated life tests (ALTs) is to predict fraction failings of products in the field. However, there are often discrepancies between the predicted fraction failing from the lab testing data and that from the field failure data, due to the yet unobserved heterogeneities in usage and operating conditions. Most previous research on ALT planning and data analysis ignores the discrepancies, resulting in inferior test plans and biased predictions. In this paper we model the heterogeneous environments together with their effects on the product failures as a frailty term to link the lab failure time distribution and field failure time distribution of a product. We show that in the presence of the heterogeneous operating conditions, the hazard rate function of the field failure time distribution exhibits a range of shapes. Statistical inference procedure for the frailty models is developed when both the ALT data and the field failure data are available. Based on the frailty models, optimal ALT plans aimed at predicting the field failure time distribution are obtained. The developed methods are demonstrated through a real life example.