introduction to probability - grinstead & snell

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1、IntroductiontoProbabilityCharlesM.GrinsteadSwarthmoreCollegeJ.LaurieSnellDartmouthCollegeToourwivesandinmemoryofReeseT.ProsserContents1DiscreteProbabilityDistributions11.1SimulationofDiscreteProbabilities...................11.2DiscreteProbabilityDistributions....................1

2、82ContinuousProbabilityDensities412.1SimulationofContinuousProbabilities.................412.2ContinuousDensityFunctions......................553Combinatorics753.1Permutations...............................753.2Combinations...............................923.3CardShuffling..........

3、.....................1204ConditionalProbability1334.1DiscreteConditionalProbability....................1334.2ContinuousConditionalProbability...................1624.3Paradoxes.................................1755DistributionsandDensities1835.1ImportantDistributions...............

4、..........1835.2ImportantDensities...........................2056ExpectedValueandVariance2256.1ExpectedValue..............................2256.2VarianceofDiscreteRandomVariables.................2576.3ContinuousRandomVariables......................2687SumsofRandomVariables2857.1Su

5、msofDiscreteRandomVariables..................2857.2SumsofContinuousRandomVariables.................2918LawofLargeNumbers3058.1DiscreteRandomVariables.......................3058.2ContinuousRandomVariables......................316vviCONTENTS9CentralLimitTheorem3259.1BernoulliTrials

6、..............................3259.2DiscreteIndependentTrials.......................3409.3ContinuousIndependentTrials.....................35510GeneratingFunctions36510.1DiscreteDistributions..........................36510.2BranchingProcesses...........................37710.3Conti

7、nuousDensities...........................39411MarkovChains40511.1Introduction................................40511.2AbsorbingMarkovChains........................41511.3ErgodicMarkovChains.........................43311.4FundamentalLimitTheorem......................44711.5MeanFirst

8、PassageTime........................45212