A de Finetti-type theorem for random-rotation-invariant continuous semimartingales

Autor: De Vecchi, Francesco C.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: We provide a characterization of continuous semimartingales whose law is invariant with respect to predictable random rotations. In particular we prove that all such semimartingales are obtained by integrating a predictable process with respect to an independent $n$ dimensional Brownian motion.
Databáze: arXiv