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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.

Stochastic processes --- Geometric probabilities --- Distribution (Probability theory) --- Distribution (Théorie des probabilités) --- Distribution (Théorie des probabilités) --- Probabilities --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities. --- Quality control. --- Reliability. --- Industrial safety. --- System theory. --- Mathematical models. --- Probability Theory and Stochastic Processes. --- Quality Control, Reliability, Safety and Risk. --- Systems Theory, Control. --- Mathematical Modeling and Industrial Mathematics. --- Models, Mathematical --- Simulation methods --- Systems, Theory of --- Systems science --- Science --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- Accidents --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Industrial engineering --- Reliability (Engineering) --- Sampling (Statistics) --- Standardization --- Quality assurance --- Quality of products --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Philosophy --- Prevention

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Stochastic processes --- 51 --- Mathematics --- 51 Mathematics

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51 --- 51 Mathematics --- Mathematics --- Stochastic processes

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