Geometric sums : bounds for rare events with applications : risk analysis, reliability, queueing
著者
書誌事項
Geometric sums : bounds for rare events with applications : risk analysis, reliability, queueing
（Mathematics and its applications, v. 413）
Kluwer Academic, c1997
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Preface. Glossary of Notation. 1. Introduction. 2. Miscellaneous Probability Topics. 3. Generalized Renyi Theorem. 4. Two-Sided Bounds. 5. Metric Bounds. 6. Ruin Probability. 7. Reliability Regenerative Models. References. Index.
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