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 processes
Weak convergence in metric spaces
Weak convergence on C[0, 1] and D[0,∞)
Central limit theorem for semi-martingales and applications
Central limit theorems for dependent random variables
Empirical process
Bibliography
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"Written by an expert in probability theory and stochastic processes, the book succeeds to present, in a relatively small number of pages, some fundamental results on weak convergence in probability theory and stochastic process and applications."
Hannelore Lisei in: Stud. Univ. Babes-Bolyai Math. 62(2017), No. 1, 137-138
Hannelore Lisei in: Stud. Univ. Babes-Bolyai Math. 62(2017), No. 1, 137-138
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Produktdetaljer
ISBN
9783110475425
Publisert
2016-09-26
Utgiver
De Gruyter
Vekt
301 gr
Høyde
240 mm
Bredde
170 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
148
Forfatter