概率论（英文版）

图书标准信息

• 作者 [美]皮特曼 著
• 出版社 世界图书出版公司
• 出版时间 2009-05
• 版次 1
• ISBN 9787510004650
• 定价 89.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 559页
• 正文语种 英语

【内容简介】

《概率论(英文版)》讲述了：Thisisatexttoraone-quaaerorone-semestercourseinprobability．aimedatstu．dentswhohavedoneayearofcalculus．Thebookisorganizedsoastudentcanlearnthefundamentalideasofprobabilityfromthefirstthreechapterswithoutrelianceoncalculus．Laterchaptersdeveloptheseideasfurtherusingcalculustools．Thebookcontainsmorethantheusualnumberofexamplesworkedoutindetail．Itisnotpossibletogothroughalltheseexamplesinclass．Rather,Isuggestthatyoudealquicklywiththemainpointsoftheory，thenspendclasstimeonproblemsfromtheexercises，oryourownfavoriteproblems．ThemostvaluablethingforstudentstolearnfromacourselikethisiShowtQpickupaprobabilityprobleminanewsettingandrelateittothestandardbodvoftheory．Themoretheyseethishappeninclass，andthemoretheydoitthemselvesinexercises．thebetter．
ThestyleofthetextisdeliberatelyinformalMyexperienceisthatstudentslearnmorefromintuitiveexplanations，diagrams，andexamplesthantheydofromthe0．remsandproofs．SotheemphasisiSonproblemsolvingratherthantheory．
OrderofTopics．ThebasicrolesofprobabilityallappearinChapterl．IntuitionforprobabilitiesisdevelopedusingVennandtreediagrams．OnlyfiniteadditivityofprobabilityiStreatedinthischapter．DiscussionofcountableadditivityiSpostponedtoSection3．4．EmphasisinChapterlisODtheconceptofarobabilitydistributionandelementaryapplicationsoftheadditionandmultiplicationrules．CombinatoricsappearViastudyofthebinomialandhypergeometricdistributionsinChapter2．

【目录】

1Preface
1Introduction
1.1EquallyLikelyOutcomes
1.2Interpretations
1.3Distributions
1.4ConditionalProbabilityandIndependence
1.5BayesRule
1.6SequencesofEvents
Summary

2ReviewExercises
2RepeatedTrialsandSampling
2.1TheBinomialDistribution
2.2NormalApproximation：Method
2.3NormalApproximation：Derivation(Optional)
2.4PoissonApproximation
2.5RandomSampling
Summary
ReviewExercises

3RandomVariables
3.1Introduction
3.2Expectation
3.3StandardDeviationandNormalApproximation
3.4DiscreteDistributions
3.5ThePoissonDistribution
3.6Symmetry(Optional)
Summary
ReviewExercises

4ContinuousDistributions
4.1ProbabilityDensities
4.2ExponentialandGammaDistributions
4.3HazardRates(Optional)
4.4ChangeofVariable
4.5CumulativeDistributionFunctions
4.6OrderStatistics(Optional)
Summary
ReviewExercises

5ContinuousJointDistributions
5.1UniformDistributions
5.2Densities
5.3IndependentNormalVariables
5.4Operations(Optional)
Summary
ReviewExercises

6Dependence
6.1ConditionalDistributions：DiscreteCase
6.2ConditionalExpectation：DiscreteCase
6.3Conditioning：DensityCase
6.4CovarianceandCorrelation
6.5BivariateNormal
Summary
ReviewExercises

DistributionSummaries
Discrete
Continuous
Beta
Binomial
Exponential
Gamma
GeometricandNegativeBinomial
Hypergeometric
Normal
Poisson
Uniform

Examinations
SolutionstoExaminations
Appendices
1.Counting
2.Sums
3.Calculus
4.ExponentsandLogarithms
5.NormalTable
BriefSolutionstoOdd-NumberedExercises
Index