书籍详情
现代概率论基础:英文本

作者:(美)Olav Kallenberg著
出版社:科学出版社
出版时间:2001-01-01
ISBN:9787030089069
定价:¥68.00
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内容简介
本书属于中国科学院推荐的研究生原版教材之一,书中内容涉及十分广泛,从古典概率论原理、鞅、马尔可夫链到布朗运动、Levy过程、弱收敛、Ito积分,再到现代概率论的发展如停时、半鞅、扩散过程等都做了详细介绍,堪称一部现代概率论的百科全书.再配以由易到难的丰富的习题,非常适合作为硕士研究生和博士研究生概率论课程的教材。
作者简介
暂缺《现代概率论基础:英文本》作者简介
目录
1.ElementsofMeasureTheory
2.Processes,Distributions,andIndependence
3.RandomSequences,Series,andAverages
4.CharacteristicFunctionsandClassicalLimitTheorems
5.ConditioningandDisintegration
6.MartingalesandOptionalTimes
7.MarkovProcessesandDiscrete-TimeChains
8.RandomWalksandRenewalTheory
9.StationaryProcessesandErgodicTheory
10.PoissonandPureJump-TypeMarkovProcesses
11.gaussianProcessesandBrownianMotion
12.SkorohodEmbeddingandInvariancePrinciples
13.IndependentIncrementsandInfiniteDivisibility
14.ConvergenceofRandomProcesses,Measures,andSets
15.StochasticIntegralsandQuadraticVariation
16.ContinuousMartingalesandBrownishMotion
17.FellerProcessesandSemigroups
18.StochasticDifferentialEquationsandMartingaleProblems
19.LocalTime,Excursions,andAdditiveFunctionals
20.One-DimensionalSDEsandDiffusions
21.PDE-ConnectionsandPotentialTheory
22.Predictability,Compensation,andExcessiveFunctions
23.SemimartingalesandGeneralStochasticIntegration
Appendices
A1.HardResultsinMeasureTheory
A2.SomeSpecialSpaces
HistoricalandBibliographicalNotes
Bibliography
Indices
2.Processes,Distributions,andIndependence
3.RandomSequences,Series,andAverages
4.CharacteristicFunctionsandClassicalLimitTheorems
5.ConditioningandDisintegration
6.MartingalesandOptionalTimes
7.MarkovProcessesandDiscrete-TimeChains
8.RandomWalksandRenewalTheory
9.StationaryProcessesandErgodicTheory
10.PoissonandPureJump-TypeMarkovProcesses
11.gaussianProcessesandBrownianMotion
12.SkorohodEmbeddingandInvariancePrinciples
13.IndependentIncrementsandInfiniteDivisibility
14.ConvergenceofRandomProcesses,Measures,andSets
15.StochasticIntegralsandQuadraticVariation
16.ContinuousMartingalesandBrownishMotion
17.FellerProcessesandSemigroups
18.StochasticDifferentialEquationsandMartingaleProblems
19.LocalTime,Excursions,andAdditiveFunctionals
20.One-DimensionalSDEsandDiffusions
21.PDE-ConnectionsandPotentialTheory
22.Predictability,Compensation,andExcessiveFunctions
23.SemimartingalesandGeneralStochasticIntegration
Appendices
A1.HardResultsinMeasureTheory
A2.SomeSpecialSpaces
HistoricalandBibliographicalNotes
Bibliography
Indices
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