Ebook: Geometric Sums: Bounds for Rare Events with Applications: Risk Analysis, Reliability, Queueing

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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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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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.
Content:
Front Matter....Pages i-xvii
Introduction....Pages 1-29
Miscellaneous Probability Topics....Pages 30-73
Generalized R?nyi Theorem....Pages 74-100
Two-Sided Bounds....Pages 101-145
Metric Bounds....Pages 146-170
Ruin Probability....Pages 171-200
Reliability Regenerative Models....Pages 201-249
Back Matter....Pages 250-270

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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.
Content:
Front Matter....Pages i-xvii
Introduction....Pages 1-29
Miscellaneous Probability Topics....Pages 30-73
Generalized R?nyi Theorem....Pages 74-100
Two-Sided Bounds....Pages 101-145
Metric Bounds....Pages 146-170
Ruin Probability....Pages 171-200
Reliability Regenerative Models....Pages 201-249
Back Matter....Pages 250-270
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