Geometric Sums: Bounds for Rare Events with Applications: Risk Analysis, Reliability, Queueing

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This text reviews problems associated with rare events arising in a wide range of circumstances, treating such topics as how to evaluate the probability of an insurance company becoming bankrupted, the lifetime of a redundant system, and the waiting time in a queue. Mathematical evaluation methods of basic probability characteristics concerned with rare events are presented, which can be employed in real applications, as the volume also contains relevant numerical and Monte Carlo methods. The various examples, tables, figures and algorithms will also be appreciated. This work should be useful to graduate students, researchers and specialists interested in applied probability, simulation and operations research.