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010   $a94-017-1693-5
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035   $a(DE-He213)978-94-017-1693-2
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100   $a20130321d1997      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aGeometric Sums: Bounds for Rare Events with Applications$b[electronic resource] $eRisk Analysis, Reliability, Queueing /$fby Vladimir V. Kalashnikov
205   $a1st ed. 1997.
210  1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d1997.
215   $a1 online resource (XVIII, 270 p.) 
225 1 $aMathematics and Its Applications ;$v413
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-7923-4616-5 
311   $a90-481-4868-5 
320   $aIncludes bibliographical references and index.
327   $aMiscellaneous Probability Topics -- Generalized Rényi Theorem -- Two-Sided Bounds -- Metric Bounds -- Ruin Probability -- Reliability Regenerative Models.
330   $aThis book reviews problems associated with rare events arising in a wide range of circumstances, treating such topics as how to evaluate the probability an insurance company will be bankrupted, the lifetime of a redundant system, and the waiting time in a queue. Well-grounded, unique mathematical evaluation methods of basic probability characteristics concerned with rare events are presented, which can be employed in real applications, as the volume also contains relevant numerical and Monte Carlo methods. The various examples, tables, figures and algorithms will also be appreciated. Audience: This work will be useful to graduate students, researchers and specialists interested in applied probability, simulation and operations research.
410  0$aMathematics and Its Applications ;$v413
606   $aProbabilities
606   $aQuality control
606   $aReliability
606   $aIndustrial safety
606   $aSystem theory
606   $aMathematical models
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aQuality Control, Reliability, Safety and Risk$3https://scigraph.springernature.com/ontologies/product-market-codes/T22032
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
615  0$aProbabilities.
615  0$aQuality control.
615  0$aReliability.
615  0$aIndustrial safety.
615  0$aSystem theory.
615  0$aMathematical models.
615 14$aProbability Theory and Stochastic Processes.
615 24$aQuality Control, Reliability, Safety and Risk.
615 24$aSystems Theory, Control.
615 24$aMathematical Modeling and Industrial Mathematics.
676   $a519.2
700   $aKalashnikov$b Vladimir V$4aut$4http://id.loc.gov/vocabulary/relators/aut$042542
906   $aBOOK
912   $a9910792475403321
996   $aGeometric Sums: Bounds for Rare Events with Applications$93816958
997   $aUNINA