introduction to probability (grinstead and snell, 2006)

introduction to probability (grinstead and snell, 2006)

ID:34572934

大小:2.85 MB

页数:518页

时间:2019-03-08

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1、GrinsteadandSnell'sIntroductiontoProbabilityTheCHANCEProject1Versiondated4July20061Copyright(C)2006PeterG.Doyle.ThisworkisaversionofGrinsteadandSnell's`IntroductiontoProbability,2ndedition',publishedbytheAmericanMathematicalSo-ciety,Copyright(C)2003CharlesM.GrinsteadandJ.LaurieSnell.Thisw

2、orkisfreelyredistributableunderthetermsoftheGNUFreeDocumentationLicense.ToourwivesandinmemoryofReeseT.ProsserContentsPrefacevii1DiscreteProbabilityDistributions11.1SimulationofDiscreteProbabilities...................11.2DiscreteProbabilityDistributions....................182ContinuousProb

3、abilityDensities412.1SimulationofContinuousProbabilities.................412.2ContinuousDensityFunctions......................553Combinatorics753.1Permutations...............................753.2Combinations...............................923.3CardShuing...............................1204

4、ConditionalProbability1334.1DiscreteConditionalProbability....................1334.2ContinuousConditionalProbability...................1624.3Paradoxes.................................1755DistributionsandDensities1835.1ImportantDistributions.........................1835.2ImportantDensities

5、...........................2056ExpectedValueandVariance2256.1ExpectedValue..............................2256.2VarianceofDiscreteRandomVariables.................2576.3ContinuousRandomVariables......................2687SumsofRandomVariables2857.1SumsofDiscreteRandomVariables................

6、..2857.2SumsofContinuousRandomVariables.................2918LawofLargeNumbers3058.1DiscreteRandomVariables.......................3058.2ContinuousRandomVariables......................316vviCONTENTS9CentralLimitTheorem3259.1BernoulliTrials..............................3259.2DiscreteIndepend

7、entTrials.......................3409.3ContinuousIndependentTrials.....................35610GeneratingFunctions36510.1DiscreteDistributions..........................36510.2BranchingProcesses...........................37610.3ContinuousDensities........................

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