Recurrent Event Modeling Based on the Yule Process: Application to Water Network Asset Management
Mathematical Models and Methods in Reliability Set, Volume 2

Yves Le Gat



This book presents research work into the reliability of drinking water pipes.

The infrastructure of water pipes is susceptible to routine failures, namely leakage or breakage, which occur in an aggregative manner in pipeline networks. Creating strategies for infrastructure asset management requires accurate modeling tools and first-hand experience of what repeated failures can mean in terms of socio-economic and environmental consequences.

Devoted to the counting process framework when dealing with this issue, the author presents preliminary basic concepts, particularly the process intensity, as well as basic tools (classical distributions and processes).

The introductory material precedes the discussion of several constructs, namely the non-homogeneous birth process, and further as a special case, the linearly extended Yule process (LEYP), and its adaptation to account for selective survival. The practical usefulness of the theoretical results is illustrated with actual water pipe failure data.

从 Wiley Online Library 分章节 PDF 下载，整并成一个文件，已添加目录



Mathematical Models and Methods in Reliability Set

Volume 1: Fat-Tailed Distributions: Data, Diagnostics and Dependence


Volume 3: Degradation Processes in Reliability
https://bbs.pinggu.org/thread-4881878-1-1.html