Characteristic functions of measures on geometric rough paths
We define a characteristic function for probability measures on the signatures of geometric rough paths. We determine sufficient conditions under which a random variable is uniquely determined by its expected signature, thus partially solving the analogue of the moment problem. We furthermore study...
Prif Awduron: | , |
---|---|
Fformat: | Journal article |
Cyhoeddwyd: |
Institute of Mathematical Statistics
2016
|