概率论
¥
15
2.3折
¥
65
九品
仅1件
作者A.N.Shiryaev 编
出版社世界图书出版公司
出版时间2004-11
版次2
装帧平装
上书时间2024-10-11
商品详情
- 品相描述:九品
图书标准信息
-
作者
A.N.Shiryaev 编
-
出版社
世界图书出版公司
-
出版时间
2004-11
-
版次
2
-
ISBN
9787506271882
-
定价
65.00元
-
装帧
平装
-
开本
其他
-
纸张
胶版纸
-
页数
621页
- 【内容简介】
-
InthePrefacetothefirstedition,originallypublishedin1980,wementionedthatthisbookwasbasedontheauthor'slecturesintheDepartmentofMechanicsandMathematicsoftheLomonosovUniversityinMoscow,whichwereissued,inpart,inmimeographedformunderthetitle"Probability,Statistics,andStochasticProcessors,I,II"andpublishedbythatUniversity.Ouroriginalintentioninwritingthefirsteditionofthisbookwastodividethecontentsintothreeparts:probability,mathematicalstatistics,andtheoryofstochasticprocesses,whichcorrespondstoanoutlineofathreesemestercourseoflecturesforuniversitystudentsofmathematics.However,inthecourseofpreparingthebook,itturnedouttobeimpossibletorealizethisintentioncompletely,sinceafullexpositionwouldhaverequiredtoomuchspace.Inthisconnection,westatedinthePrefacetothefirsteditionthatonlyprobabilitytheoryandthetheoryofrandomprocesseswithdiscretetimewerereallyadequatelypresented.
- 【目录】
-
PrefacetotheSecondEdition
PrefacetotheFirstEdition
Introduction
CHAPTERIElementaryProbabilityTheory
1.ProbabilisticModelofanExperimentwithaFiniteNumberofOutcomes
2.SomeClassicalModelsandDistributions
3.ConditionalProbability.Independence
4.RandomVariablesandTheirProperties
5.TheBernoulliScheme.I.TheLawofLargeNumbers
6.TheBernoulliScheme.II.LimitTheorems(Local,DeMoivre-Laplace,Poisson)
7.EstimatingtheProbabilityofSuccessintheBernoulliScheme
8.ConditionalProbabilitiesandMathematicalExpectationswithRespecttoDecompositions
9.RandomWalk.I.ProbabilitiesofRuinandMeanDurationinCoinTossing
10.RandomWalk.II.ReflectionPrinciple.ArcsineLaw
11.Martingales.SomeApplicationstotheRandomWalk
12.MarkovChains.ErgodicTheorem.StrongMarkovProperty
CHAPTERIIMathematicalFoundationsofProbabilityTheory
1.ProbabilisticModelforanExperimentwithInfinitelyManyOutcomes.Kolmogorov‘sAxioms
2.Algebrasanda-algebras.MeasurableSpaces
3.MethodsofIntroducingProbabilityMeasuresonMeasurableSpaces
……
CHAPTERIIIConergenceofProbabilityMeasures.CentralLimitTheorem
CHAPTERIVSequencesandSumsofIndependentRandomVariables
CHAPTERVStationary(StirctySense)RandomSequencesandErgodicTheory
CHAPTERVIStationary(WideSense)RandomSequencesL2Theory
CHAPTERVIISequencesofRandomVariablesthatFormMartingalse
CHAPTERVIIISequencesofRandomVariablesthatFormMarkovChains
HistoricalandBibographicalNotes
Refernces
IndexofSymbols
Index
点击展开
点击收起
— 没有更多了 —
以下为对购买帮助不大的评价