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Bahadur–Kiefer representations for time dependent quantile processes
by
Mason, David M
, Kevei, Péter
in
Approximation
/ Brownian motion
/ Gaussian process
/ Hilbert space
/ Mathematical functions
/ Quantiles
/ Random variables
/ Representations
/ Theorems
/ Time dependence
2018
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Do you wish to request the book?
Bahadur–Kiefer representations for time dependent quantile processes
by
Mason, David M
, Kevei, Péter
in
Approximation
/ Brownian motion
/ Gaussian process
/ Hilbert space
/ Mathematical functions
/ Quantiles
/ Random variables
/ Representations
/ Theorems
/ Time dependence
2018
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Bahadur–Kiefer representations for time dependent quantile processes
Journal Article
Bahadur–Kiefer representations for time dependent quantile processes
2018
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Overview
We define a time dependent empirical process based on n independent fractional Brownian motions and describe strong approximations to it by Gaussian processes. They lead to strong approximations and functional laws of the iterated logarithm for the quantile or inverse of this empirical process. They are obtained via time dependent Bahadur–Kiefer representations.
Publisher
Springer Nature B.V
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