4 citations · 4 across the 3 of their papers we have counts for
7 papers
From Markov Processes to Semimartingales
Sebastian Rickelhoff, Alexander Schnurr
In the development of stochastic integration and the theory of semimartingales, Markov processes have been a constant source of inspiration. Despite this historical interweaving, i…
Ordinal Pattern Dependence in the Context of Long-Range Dependence
Ines Nüßgen, Alexander Schnurr
Ordinal pattern dependence is a multivariate dependence measure based on the co-movement of two time series. In strong connection to ordinal time series analysis, the ordinal infor…
Ordinal pattern dependence as a multivariate dependence measure
Annika Betken, Herold Dehling, Nüßgen +1
In this article, we show that the recently introduced ordinal pattern dependence fits into the axiomatic framework of general multivariate dependence measures, i.e., measures of de…
Ordinal Patterns in Long-Range Dependent Time Series
Annika Betken, Jannis Buchsteiner, Herold Dehling +3
We analyze the ordinal structure of long-range dependent time series. To this end, we use so called ordinal patterns which describe the relative position of consecutive data points…
Ordinal Patterns in Clusters of Subsequent Extremes of Regularly Varying Time Series
Marco Oesting, Alexander Schnurr
In this paper, we investigate temporal clusters of extremes defined as subsequent exceedances of high thresholds in a stationary time series. Two meaningful features of these clust…
Comparison of time-inhomogeneous Markov processes
Ludger Rueschendorf, Alexander Schnurr, Viktor Wolf
Comparison results are given for time-inhomogeneous Markov processes with respect to function classes induced stochastic orderings. The main result states comparison of two process…