Bridge representation and modal-path approximation

Jiro Akahori; Xiaoming Song; Tai-Ho Wang

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arXiv · 1607.03074

Bridge representation and modal-path approximation

Jiro Akahori·Xiaoming Song·Tai-Ho Wang

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Abstract

The article shows a bridge representation for the joint density of a system of stochastic processes consisting of a Brownian motion with drift coupled with a correlated fractional Brownian motion with drift. As a result, a small time approximation of the joint density is readily obtained by substituting the conditional expectation under the bridge measure by a single path: the modal-path from the initial point to the terminal point.

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Jiro Akahori, Xiaoming Song, Tai-Ho Wang. 2016-07-11. Bridge representation and modal-path approximation. https://arxiv.org/abs/1607.03074

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