极值,正则变差,和点过程
作者:
雷斯尼克
(Resnick.S.I.) 著
出版时间:
2011-07
版次:
1
ISBN:
9787510037467
定价:
39.00
装帧:
平装
开本:
16开
纸张:
胶版纸
页数:
320页
正文语种:
英语
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《极值,正则变差,和点过程》讲述了学习独立同分布随机变量和向量的极值现象的数学背景和随机过程技巧。重在强调极值的三个重要的话题,规则变化函数的解析理论,点过程和随机测度的概率论,度量空间概率测度的若收敛的渐进分布逼近之间的联系。目次:基础;吸引域和规范常数;收敛的质量;记录和极过程;多变量极值。 Preface
Preliminaries
UniformConvergence
InversesofMonotoneFunctions
ConvergencetoTypesTheoremandLimitDistributionsofMaxima
RegularlyVaryingFunctionsofaRealVariableBasics
DeeperResults;Karamata’STheorem
ExtensionsofRegularVariation:兀.Variation.F.Variation
DomainsofAttractionandNormingConstants
DomainofAttractionofA(x)=exp
DomainofAttraction
DomainofAttraction
VonMisesConditions
EquivalenceClassesandComputationofNormalizingConstants
QualityofConvergence
MomentConvergence
DensityConvergence
LargeDeviations.
UniformRatesofConvergencetoExtremeValueLaws
UniformRatesofConvergence
UniformRatesofConvergence
PointProcesses
Fundamentals
LaplaceFunctionals
PoissonProcesses
DefinitionandConstruction
TransformationsofPoissonProcesses
VagueConvergence
WeakConvergenceofPointProcessesandRandomMeasures
RecordsandExtremaProcesses
StructureofRecords
LimitLawsforRecords
ExtremalProcesses
WeakConvergencetoExtremalProcessesSkorohodSpaces
WeakConvergenceofMaximalProcessestoExtremal
ProcessesviaWeakConvergenceofInducedPointProcesses
ExtremeValueTheoryforMovingAverages
Independenceofk-RecordProcesses
MultivariateExtremes
Max.InfiniteDivisibility
AnExample:TheBivariateNormal
CharacterizingMax.idDistributions
LimitDistributionsforMultivariateExtremes
CharacterizingMax.StableDistributions
DomainsofAttraction;MultivariateRegularVariation
IndependenceandDependence
Association
Refe
Inde
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内容简介:
《极值,正则变差,和点过程》讲述了学习独立同分布随机变量和向量的极值现象的数学背景和随机过程技巧。重在强调极值的三个重要的话题,规则变化函数的解析理论,点过程和随机测度的概率论,度量空间概率测度的若收敛的渐进分布逼近之间的联系。目次:基础;吸引域和规范常数;收敛的质量;记录和极过程;多变量极值。
-
目录:
Preface
Preliminaries
UniformConvergence
InversesofMonotoneFunctions
ConvergencetoTypesTheoremandLimitDistributionsofMaxima
RegularlyVaryingFunctionsofaRealVariableBasics
DeeperResults;Karamata’STheorem
ExtensionsofRegularVariation:兀.Variation.F.Variation
DomainsofAttractionandNormingConstants
DomainofAttractionofA(x)=exp
DomainofAttraction
DomainofAttraction
VonMisesConditions
EquivalenceClassesandComputationofNormalizingConstants
QualityofConvergence
MomentConvergence
DensityConvergence
LargeDeviations.
UniformRatesofConvergencetoExtremeValueLaws
UniformRatesofConvergence
UniformRatesofConvergence
PointProcesses
Fundamentals
LaplaceFunctionals
PoissonProcesses
DefinitionandConstruction
TransformationsofPoissonProcesses
VagueConvergence
WeakConvergenceofPointProcessesandRandomMeasures
RecordsandExtremaProcesses
StructureofRecords
LimitLawsforRecords
ExtremalProcesses
WeakConvergencetoExtremalProcessesSkorohodSpaces
WeakConvergenceofMaximalProcessestoExtremal
ProcessesviaWeakConvergenceofInducedPointProcesses
ExtremeValueTheoryforMovingAverages
Independenceofk-RecordProcesses
MultivariateExtremes
Max.InfiniteDivisibility
AnExample:TheBivariateNormal
CharacterizingMax.idDistributions
LimitDistributionsforMultivariateExtremes
CharacterizingMax.StableDistributions
DomainsofAttraction;MultivariateRegularVariation
IndependenceandDependence
Association
Refe
Inde
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