應(yīng)用概率論

內(nèi)容概要

《應(yīng)用概率論》主要內(nèi)容有：I.BasicProbability；1.TrialsandEvents；1.1.Trials,Outcomes,andEvents；1.2.CombinationsofEventsandSpecialEvents；1.3.IndicatorFunctionsandCombinationsofEvents；1.4.Classes,Partitions,andBooleanCombinations等。

書籍目錄

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

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《應(yīng)用概率論》為英文版?！稇?yīng)用概率論》是由世界圖書出版公司北京公司出版的。講述了：I.BasicProbability；2.ProbabilitySystems、3.ConditionalProbability等。

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