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1、FundamentalsofAppliedProbabilityandRandomProcessesOliverC.IbeUniversityofMassachusettsLowell,MAAMSTERDAM•BOSTON•HEIDELBERG•LONDON•NEWYORK•OXFORD•PARIS•SANDIEGO•SANFRANCISCO•SINGAPORE•SYDNEY•TOKYOAcquisitionsEditor:TomSingerProjectManager:CarlM.SoaresMarketingManager:LindaBeattieElsevierAcademicP
2、ress30CorporateDrive,Suite400,Burlington,MA01803,USA525BStreet,Suite1900,SanDiego,California92101-4495,USA84TheobaldsRoad,LondonWC1X8RR,UKThisbookisprintedonacid-freepaper.∞Copyrightc2005,ElsevierInc.Allrightsreserved.Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,ele
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4、uk.Youmayalsocompleteyourrequeston-lineviatheElsevierhomepage(http://elsevier.com),byselectingCustomerSupportandthenObtainingPermissions.LibraryofCongressCataloging-in-PublicationDataApplicationSubmittedBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritis
5、hLibraryISBN13:978-0-12-088508-4ISBN10:0-12-088508-5ForallinformationonallElsevierAcademicPresspublicationsvisitourWebsiteatwww.books.elsevier.comPrintedintheUnitedStatesofAmerica050607080910987654321ContentsPrefacexiiiAcknowledgmentxvii1BasicProbabilityConcepts11.1Introduction11.2SampleSpaceand
6、Events21.3DefinitionsofProbability41.3.1AxiomaticDefinition41.3.2Relative-FrequencyDefinition51.3.3ClassicalDefinition51.4ApplicationsofProbability71.4.1ReliabilityEngineering71.4.2QualityControl71.4.3ChannelNoise71.4.4SystemSimulation81.5ElementarySetTheory81.5.1SetOperations91.5.2NumberofSubsetsof
7、aSet101.5.3VennDiagram101.5.4SetIdentities101.5.5DualityPrinciple131.6PropertiesofProbability131.7ConditionalProbability151.7.1TotalProbabilityandtheBayesTheorem161.7.2TreeDiagram24vviContents1.8IndependentEvents261.9Combine
