Kalashnikov Geometric Sums: Bounds for Rare Events with Applications

Risk Analysis, Reliability, Queueing
Erscheinungsjahr 2013
ISBN: 978-94-017-1693-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 413, 270 Seiten, eBook

Reihe: Mathematics and Its Applications

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.
This work will be useful to graduate students, researchers and specialists interested in applied probability, simulation and operations research.

Zielgruppe

Research

Autoren/Hrsg.

Kalashnikov, Vladimir V.

Inhaltsverzeichnis

Miscellaneous Probability Topics.- Generalized Rényi Theorem.- Two-Sided Bounds.- Metric Bounds.- Ruin Probability.- Reliability Regenerative Models.