03684nam 22007215 450 991048101530332120200704042745.094-017-1693-510.1007/978-94-017-1693-2(CKB)2660000000029807(SSID)ssj0000898961(PQKBManifestationID)11947918(PQKBTitleCode)TC0000898961(PQKBWorkID)10922569(PQKB)10018723(DE-He213)978-94-017-1693-2(MiAaPQ)EBC3105012(PPN)237978210(EXLCZ)99266000000002980720130321d1997 u| 0engurnn|008mamaatxtccrGeometric Sums: Bounds for Rare Events with Applications[electronic resource] Risk Analysis, Reliability, Queueing /by Vladimir V. Kalashnikov1st ed. 1997.Dordrecht :Springer Netherlands :Imprint: Springer,1997.1 online resource (XVIII, 270 p.) Mathematics and Its Applications ;413Bibliographic Level Mode of Issuance: Monograph0-7923-4616-5 90-481-4868-5 Includes bibliographical references and index.Miscellaneous Probability Topics -- Generalized Rényi Theorem -- Two-Sided Bounds -- Metric Bounds -- Ruin Probability -- Reliability Regenerative Models.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.Mathematics and Its Applications ;413ProbabilitiesQuality controlReliabilityIndustrial safetySystem theoryMathematical modelsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Quality Control, Reliability, Safety and Riskhttps://scigraph.springernature.com/ontologies/product-market-codes/T22032Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Probabilities.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.519.2Kalashnikov Vladimir Vauthttp://id.loc.gov/vocabulary/relators/aut42542BOOK9910481015303321Geometric Sums: Bounds for Rare Events with Applications2271252UNINA