Geometric Sums: Bounds for Rare Events with Applications
Subtitle: Risk Analysis, Reliability, Queueing
By: by Vladimir Kalashnikov
Series: Mathematics and Its Applications -- 413; Mathematics and Its Applications -- 413
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 270
ISBN-13: 9789048148684; 9789401716932
Subjects: Mathematics; Distribution (Probability theory); System safety; Systems theory
Description: 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.
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