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Convergence of Stochastic Proceses
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Từ khóa liên quan
Mục lục
I: Functionals on stochastic processes
II: Uniform convergence of empirical measures
Uniformity and consistency
Classes of sets with polynomial discrimination
III: Convergence in distribution in Euclidean spaces
IV: Convergence in distribution in metric spaces
Measurability
The continuous mapping theorem
Representation by almost surely convergent sequences
V: The uniform metric on spaces of cadlag functions
Approximation of stochastic processes
Existence of brownian bridge and brownian motion
Processes with independent increments
Functionals of brownian motion and brownian bridge
VI: The Skorokhod metric on D[0,∞)
VII: Central limit theorems
Stochastic equicontinuity
Empirical central limit theorems
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