Density estimates for the exponential functionals of fractional Brownian motion

oleh: Tien Dung, Nguyen, Thu Hang, Nguyen, Phuong Thuy, Pham Thi

Format: Article
Diterbitkan: Académie des sciences 2022-02-01

Deskripsi

In this note, we investigate the density of the exponential functional of the fractional Brownian motion. Based on the techniques of Malliavin’s calculus, we provide a log-normal upper bound for the density.