应用概率论
2003-11
世界图书出版公司北京公司
P.E.Pfeiffer
679
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《应用概率论》主要内容有：I.BasicProbability；1.TrialsandEvents；1.1.Trials,Outcomes,andEvents；1.2.CombinationsofEventsandSpecialEvents；1.3.IndicatorFunctionsandCombinationsofEvents；1.4.Classes,Partitions,andBooleanCombinations等。
PrefaceI BasicProbability 1 TrialsandEvents 1.1 Trials,Outcomes,andEvents 1.2 CombinationsofEventsandSpecialEvents 1.3 IndicatorFunctionsandCombinationsofEvents 1.4 Classes,Partitions,andBooleanCombinations 2 ProbabilitySystems 2.1 ProbabilityMeasures 2.2 SomeElementaryProperties 2.3 InterpretationandDeterminationofProbabilities 2.4 MintermMapsandBooleanCombinations 2a TheSigmaAlgebraofEvents 3 ConditionalProbability 3.1 ConditioningandtheReassignmentofLikelihoods 3.2 PropertiesofConditionalProbability 3.3 RepeatedConditioning 4 IndependenceofEvents 4.1 IndependenceasaLackofConditioning 4.2 IndependentClasses 5 ConditionalIndependenceofEvents 5.1 OperationalIndependenceandaCommonCondition 5.2 EquivalentConditionsandDefinition 5.3 SomeProblemsinProbableInference 5.4 ClassificationProblems 6 CompositeTrials 6.1 EventsandComponentEvents 6.2 MultipleSuccess-FailureTrials 6.3 BernoulliTrialsII RandomVariablesandDistributions 7 RandomVariablesandProbabilities 7.1 RandomVariablesasFunctions--MappingConcepts 7.2 MassTransferandProbabilityDistributions 7.3 SimpleRandomVariables 7a BorelSets,RandomVariables,andBorelFunctions 8 DistributionandDensityFunctions 8.1 TheDistributionFunction 8.2 SomeDiscreteDistributions 8.3 AbsolutelyContinuousRandomVariablesandDensityFunc-tions 8.4 SomeAbsolutelyContinuousDistributions 8.5 TheNormalDistribution 8.6 LifeDistributionsinReliabilityTheory 9 RandomVectorsandJointDistributions 9.1 TheJointDistributionDeterminedbyaRandomVector 9.2 TheJointDistributionFunctionandMarginalDistributions 9.3 JointDensityFunctions 10 IndependenceofRandomVectors 10.1 IndependenceofRandomVectors 10.2 SimpleRandomVariables 10.3 JointDensityFunctionsandIndependence 11 FunctionsofRandomVariables 11.1 AFundamentalApproachandsomeExamples 11.2 FunctionsofMoreThanOneRandomVariable 11.3 FunctionsofIndependentRandomVariables 11.4 TheQuantileFunction 11.5 CoordinateTransformations 11a SomePropertiesoftheQuantileFunctionIII MathematicalExpectation 12 MathematicalExpectation …… 13 ExpectationandIntegrals 14 PropertiesofExpectation 15 VarianceandStandardDeviation 16 Covariance,Correlation,andLinearRegression 17 ConvergenceinProbabilityTheory 18 TransformMethods 19 ConditionalExpectation,GivenaRandomVector 20 RandomSelectionandCountingProcesses 21 PoissonProcesses 21a 22 ConditionalIndependence,GivenaRandomVector 23 MarkovSequences 23a SomeTheoreticalDetailsA SomeMathematicalAidsB SomeBasicCountingProblemsIndex
《应用概率论》为英文版。《应用概率论》是由世界图书出版公司北京公司出版的。讲述了：I.BasicProbability；2.ProbabilitySystems、3.ConditionalProbability等。
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