Weak Convergence of Stochastic Processes : With Applications to Statistical Limit Theorems

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Bibliographic Details
Title: Weak Convergence of Stochastic Processes : With Applications to Statistical Limit Theorems
Description: The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion. Contents:Weak convergence of stochastic processesWeak convergence in metric spacesWeak convergence on C[0, 1] and D[0,∞)Central limit theorem for semi-martingales and applicationsCentral limit theorems for dependent random variablesEmpirical processBibliography
Authors: Vidyadhar S. Mandrekar
Resource Type: eBook.
Subjects: Fourier transformations, Limit theorems (Probability theory), Stochastic processes
Categories: MATHEMATICS / Probability & Statistics / Stochastic Processes, MATHEMATICS / Probability & Statistics / General
Database: eBook Collection (EBSCOhost)
Description
Abstract:The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion. Contents:Weak convergence of stochastic processesWeak convergence in metric spacesWeak convergence on C[0, 1] and D[0,∞)Central limit theorem for semi-martingales and applicationsCentral limit theorems for dependent random variablesEmpirical processBibliography
ISBN:9783110475425
9783110475456
9783110476316