Survival Under Multiple Time Scales in Dynamic Environments

摘要

This is an expository paper. Here we weave together two recent developments inreliability and survival analysis. The first pertains to the development of probabilistic models for survival in environments that are dynamic, and the second pertains to a consideration of multiple scales in reliability and biometry. We overview some results on the former, and show how these can be used to advantage for constructing a new class of probabilistic models whose key feature is that they are indexed by more than one scale. Our development restricts attention to the case of two scales, one to denote time, and the other to denote amount of usage. The material given here is preliminary; it has evolved as a consequence of our participation in the NATO Advanced Research Workshops in Survival Analysis and Related Topics at The Ohio State University, where we were exposed to the issue of multiple time scales. (Author).