Lévy Processes and Their Applications in Reliability and Storage, 2014
SpringerBriefs in Statistics Series

?This book covers Lévy processes and their applications in the contexts of reliability and storage. Special attention is paid to life distributions and the maintenance of devices subject to degradation; estimating the parameters of the degradation process is also discussed, as is the maintenance of dams subject to Lévy input.

Preface.- Notation and Terminology.- Lévy Processes and Their Characteristics.- Degradation Processes.- Storage Models: Control of Dams Using P^M_{\lambda,\tau} Policies.- Appendix.- Index. 

Professor Mohamed Abdel-Hameed is a former Chair of the Department of Statistics and Operations Research, Kuwait University. He has served on the editorial board of the Journal of Applied Stochastic Models and Data Analysis and is the Editor (jointly with E. Cinlar and J. Quinn) of the book Reliability Theory and Models: Stochastic Failure Models, Optimal Maintenance Policies, Life Testing and Structures (Academic press, 1984). He has published numerous papers on Statistics, Stochastic Models, Reliability, and Storage Models.

Provides a concise and comprehensive account of Lévy processes Clearly discusses applications of Lévy processes in reliability, with special attention to life distributions and the maintenance of devices subject to degradation, as well estimating the parameters of the degradation process Discusses applications of Lévy processes in storage, with special emphasis on monitoring dams subject to Lévy input Includes supplementary material: sn.pub/extras