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Indroduction_to_Mathematica_Statistics.Hogg,McKean,Craigseventhedition.pdf
第七版Indroduction_to_Mathematica_Statistics.Hogg,McKean,Craigseventhedition.pdfUIUC的STAT401统计课程教材ContentsPrefaceix1ProbabilityandDistributions11.1Introduction................................11.2SetTheory................................31.3TheProbabilitySetFunction......................101.4ConditionalProbabilityandIndependence...............211.5RandomVariables............................321.6DiscreteRandomVariables.......................401.6.1Transformations.........................421.7ContinuousRandomVariables......................441.7.1Transformations.........................461.8ExpectationofaRandomVariable...................521.9SomeSpecialExpectations.......................571.10ImportantInequalities..........................682MultivariateDistributions732.1DistributionsofTwoRandomVariables................732.1.1Expectation............................792.2Transformations:BivariateRandomVariables.............842.3ConditionalDistributionsandExpectations..............942.4TheCorrelationCoefficient.......................1022.5IndependentRandomVariables.....................1102.6ExtensiontoSeveralRandomVariables................1172.6.1∗MultivariateVariance-CovarianceMatrix...........1232.7TransformationsforSeveralRandomVariables............1262.8LinearCombinationsofRandomVariables...............1343SomeSpecialDistributions1393.1TheBinomialandRelatedDistributions................1393.2ThePoissonDistribution........................1503.3TheΓ,χ2,andβDistributions.....................1563.4TheNormalDistribution.........................1683.4.1ContaminatedNormals.....................174vviContents3.5TheMultivariateNormalDistribution.................1783.5.1∗Applications...........................1853.6t-andF-Distributions
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