应用概率论

图书标准信息

• 作者 P.E.Pfeiffer
• 出版社 世界图书出版公司
• 出版时间 2003-11
• 版次 1
• ISBN 9787506265836
• 定价 79.00元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 679页

【内容简介】

《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。

【目录】

Preface

I  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 BernoulliTrials

II  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 SomePropertiesoftheQuantileFunction

III  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 SomeTheoreticalDetails

A SomeMathematicalAids

B SomeBasicCountingProblems

Index