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Strong approximations for weighted bootstrap of empirical and quantile processes with applications

✍ Scribed by Alvarez-Andrade, Sergio; Bouzebda, Salim

Book ID
119373770
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
299 KB
Volume
11
Category
Article
ISSN
1572-3127

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Approximations for weighted bootstrap pr
Approximations for weighted bootstrap processes with an application
✍ Lajos HorvΓ‘th; Piotr Kokoszka; Josef Steinebach πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 175 KB

Let ΓΏn(t) denote the weighted (smooth) bootstrap process of an empirical process. We show that the order of the best Gaussian approximation for ΓΏn(t) is n -1=2 log n and we construct a sequence of approximating Brownian bridges achieving this rate. We also obtain an approximation for ΓΏn(t) using a s