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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
Nákup knihy
Weak convergence of stochastic processes, Vidyadhar Mandrekar
- Jazyk
- Rok vydania
- 2016
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- Titul
- Weak convergence of stochastic processes
- Jazyk
- anglicky
- Autori
- Vidyadhar Mandrekar
- Vydavateľ
- De Gruyter
- Rok vydania
- 2016
- Väzba
- pevná
- ISBN10
- 3110475421
- ISBN13
- 9783110475425
- Séria
- De Gruyter graduate
- Kategórie
- Matematika
- Anotácia
- 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