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.
From the book reviews:
"This is a short book and contains three chapters only. Each chapter can be seen as a review article on a specific topic. ... it can be recommended as a quick introduction to reliability and storage analysis using Lévy processes." (Enrico Scalas, Mathematical Reviews, February, 2015)
