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Geometric Sums: Bounds for Rare Events with Applications

Risk Analysis, Reliability, Queueing

  • Book
  • © 1997

Overview

Part of the book series: Mathematics and Its Applications (MAIA, volume 413)

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Table of contents (7 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Institute of Systems Analysis, Russian Academy of Sciences, Moscow, Russia

    Vladimir Kalashnikov

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