Geometric Sums: Bounds for Rare Events with Applications: Risk Analysis, Reliability, Queueing by Vladimir V. KalashnikovGeometric Sums: Bounds for Rare Events with Applications: Risk Analysis, Reliability, Queueing by Vladimir V. Kalashnikov

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

byVladimir V. Kalashnikov

Paperback | December 15, 2010

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This book reviews problems associated with rare events arising in a wide range of circumstances, treating such topics as how to evaluate the probability an insurance company will be bankrupted, the lifetime of a redundant system, and the waiting time in a queue. Well-grounded, unique 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. Audience: This work will be useful to graduate students, researchers and specialists interested in applied probability, simulation and operations research.
Title:Geometric Sums: Bounds for Rare Events with Applications: Risk Analysis, Reliability, QueueingFormat:PaperbackDimensions:287 pages, 9.25 × 6.1 × 0 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148685

ISBN - 13:9789048148684

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Table of Contents

Preface. Glossary of Notation. 1. Introduction. 2. Miscellaneous Probability Topics. 3. Generalized Rényi Theorem. 4. Two-Sided Bounds. 5. Metric Bounds. 6. Ruin Probability. 7. Reliability Regenerative Models. References. Index.