Lévy Processes and Their Applications in Reliability and Storage

1. Front Matter

   Pages i-xiv

   PDF

2. Lévy Processes and Their Characteristics

   • Mohamed Abdel-Hameed

   Pages 1-22

3. Degradation Processes

   • Mohamed Abdel-Hameed

   Pages 23-76

4. Storage Models: Control of Dams Using P \(_{\lambda ,\tau }^{M}\) Policies

   • Mohamed Abdel-Hameed

   Pages 77-108

5. Back Matter

   Pages 109-116

   PDF

​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.

• 60K10, 60K20
• Lévy processes
• degradation processes
• estimation of parameters of degradation processes
• maintenance of dams subject to Lévy input
• maintenance policies

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)

• United Arab Emirates University, Al Ain, Utd.Arab.Emir.

  Mohamed Abdel-Hameed

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.

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