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Publikováno v:
Stochastic Processes and their Applications. 145:241-268
This article generalises the concept of realised covariation to Hilbert-space-valued stochastic processes. More precisely, based on high-frequency functional data, we construct an estimator of the trace-class operator-valued integrated volatility pro
Copulas are appealing tools in multivariate probability theory and statistics. Nevertheless, the transfer of this concept to infinite dimensions entails some nontrivial topological and functional analytic issues, making a deeper theoretical understan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e95d94706edb987ae7536c131d3ed662
http://hdl.handle.net/10852/93802
http://hdl.handle.net/10852/93802
Although copulas are used and defined for various infinite-dimensional objects (e.g. Gaussian processes and Markov processes), there is no prevalent notion of a copula that unifies these concepts. We propose a unified approach and define copulas as p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5436cc8b70955cad0f3ea701fa2dbc9