Martingales with Independent Increments

Autor: Delbaen, Freddy
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We show that a discrete time martingale with respect to a filtration with atomless innovations is the (infinite) sum of martingales with independent increments. For the continuous time filtration coming from Brownian Motion filtration, we show that every $L^2$ martingale is the sum of a series of Gaussian martingales.
Databáze: arXiv