Grinstead and Snell’s Introduction to Probability – Dartmouth
518 pages Missing: waarschijnlijkheid | Must include: waarschijnlijkheid 25 KB – 518 Pages PAGE – 1 ============ GrinsteadandSnell’sIntroductiontoProbabilityTheCHANCEProject1Versiondated4July20061Copyright(C)2006PeterG.Doyle.ThisworkisaversionofGrinsteadandSnell’s`IntroductiontoProbability,2ndedition’,publishedbytheAmericanMathematicalSo-ciety,Copyright(C)2003CharlesM.GrinsteadandJ.LaurieSnell.ThisworkisfreelyredistributableunderthetermsoftheGNUFreeDocumentationLicense. PAGE – 3 ============ ContentsPrefacevii1DiscreteProbabilityDistributions11.1SimulationofDiscreteProbabilities.11.2DiscreteProbabilityDistributions..182ContinuousProbabilityDensities412.1SimulationofContinuousProbabilities..412.2ContinuousDensityFunctions.553Combinatorics753.1Permutations.753.2Combinations.923.3CardSh.1204ConditionalProbability1334.1DiscreteConditionalProbability..1334.2ContinuousConditionalProbability.1624.3Paradoxes1755DistributionsandDensities1835.1ImportantDistributions.1835.2ImportantDensities2056ExpectedValueandVariance2256.1ExpectedValue2256.2VarianceofDiscreteRandomVariables..2576.3ContinuousRandomVariables.2687SumsofRandomVariables2857.1SumsofDiscreteRandomVariables2857.2SumsofContinuousRandomVariables..2918LawofLargeNumbers3058.1DiscreteRandomVariables..3058.2ContinuousRandomVariables.316v PAGE – 4 ============ viCONTENTS9CentralLimitTheorem3259.1BernoulliTrials3259.2DiscreteIndependentTrials..3409.3ContinuousIndependentTrials35610GeneratingFunctions36510.1DiscreteDistributions..36510.2BranchingProcesses37610.3ContinuousDensities39311MarkovChains40511.1Introduction..40511.2AbsorbingMarkovChains41611.3ErgodicMarkovChains.43311.4FundamentalLimitTheorem.44711.5MeanFirstPassageTime45212RandomWalks47112.1RandomWalksinEuclideanSpace.47112.2Gambler’sRuin48612.3ArcSineLaws.493Appendices499Index503 PAGE –…