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Geometric Sums: Bounds for Rare Events with Applications
ISBN-13:
9789401716932
Veröffentl:
2013
Seiten:
270
Autor:
Vladimir V. Kalashnikov
Serie:
413, Mathematics and Its Applications
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
Miscellaneous Probability Topics.- Generalized Rényi Theorem.- Two-Sided Bounds.- Metric Bounds.- Ruin Probability.- Reliability Regenerative Models.
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