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

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 literat...

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Bibliographic Details
Main Author: Mandrekar, Vidyadhar S.
Format: eBook
Language:English
Published: Berlin/Boston, GERMANY De Gruyter, 2016.
Series:De Gruyter Textbook ; 64
Subjects:
Online Access:EBSCOhost
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245 1 0 |a Weak Convergence of Stochastic Processes  |b With Applications to Statistical Limit Theorems. 
260 |a Berlin/Boston, GERMANY  |b De Gruyter,  |c 2016.  |9 910494 
300 |a 1 online resource (148). 
490 0 |a De Gruyter Textbook ;  |v 64 
588 0 |a Print version record. 
505 0 |a 1. Weak convergence of stochastic processes ; 2. Weak convergence in metric spaces ; 3. Weak convergence on C[0, 1] and D[0,8) ; 4. Central limit theorem for semi-martingales and applications ; 5. Central limit theorems for dependent random variables ; 6. Empirical process. 
520 |a 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. 
653 0 |a Limit theorems (Probability theory) 
653 0 |a Fourier transformations. 
653 0 |a Stochastic processes. 
653 7 |a Fourier transformations.  |2 fast  |0 (OCoLC)fst00933413 
653 7 |a Limit theorems (Probability theory)  |2 fast  |0 (OCoLC)fst00998881 
653 7 |a Stochastic processes.  |2 fast  |0 (OCoLC)fst01133519 
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653 7 |a MATHEMATICS / Probability & Statistics / General  |2 bisacsh 
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