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Stochastic analysis for vector-valued generalized grey Brownian motion

Stochastic analysis for vector-valued generalized grey Brownian motion

In this article, we show that the standard vector-valued generalization of a generalized grey Brownian motion (ggBm) has independent components if and only if it is a fractional Brownian motion. In order to extend ggBm with independent components, we introduce a vector-valued generalized grey Brownian motion (vggBm). The characteristic function …