𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On positive and negative moments of the integral of geometric Brownian motions

✍ Scribed by Catherine Donati-Martin; Hiroyuki Matsumoto; Marc Yor


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
94 KB
Volume
49
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


We present explicit formulae for the positive and negative moments of an exponential Wiener functional, which is deΓΏned as the integral with respect to time of geometric Brownian motion and plays an important role in several ΓΏelds.


πŸ“œ SIMILAR VOLUMES


A note on the distribution of integrals
✍ Rabi Bhattacharya; Enrique Thomann; Edward Waymire πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 82 KB

The purpose of this note is to identify an interesting and surprising duality between the equations governing the probability distribution and expected value functional of the stochastic process deΓΏned by At := t 0 exp{Zs} ds; t ΒΏ 0; where {Zs: s ΒΏ 0} is a one-dimensional Brownian motion with drift

Inequalities for the moments of Wiener i
✍ Jean MΓ©min; Yulia Mishura; Esko Valkeila πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 115 KB

We study the possibility to control the moments of Wiener integrals of fractional Brownian motion with respect to the L p -norm of the integrand. It turns out that when the self-similarity index H ΒΏ 1 2 , we can have only an upper inequality, and when H Β‘ 1 2 we can have only a lower inequality.

On the motion and brownian motion of n s
✍ P. Mazur πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 1010 KB

THE LINEARIZED EQUATIONS OF MOTION \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 3 MOBILITIES \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.\_\_\_\_\_.\_.\_\_\_\_\_.\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 5 A\_ Lowest order multipole; point force approximation \_\_\_\_\_\_\_\_.\