Jannis Buchsteiner

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20142019

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math.PR2016

The Function-Indexed Sequential Empirical Process under Long-Range Dependence

Jannis Buchsteiner

Let $(X_{j})_{j \geq 1}$ be a multivariate long-range dependent Gaussian process. We study the asymptotic behavior of the corresponding sequential empirical process indexed by a class…

math.PR2014

The Sequential Empirical Process of Nonlinear Long-Range Dependent Random Vectors

Jannis Buchsteiner

Let $(G (X_{j}))_{j \geq 1}$ be a multivariate subordinated Gaussian process, which exhibits long-range dependence. We study the asymptotic behaviour of the corresponding sequential emp…