Roberts, Gareth O. and Lo, Violet S. and Daniels, Henry E. (2002) Inversion of the method of images. Bernoulli, 8 (1). pp. 53-80. ISSN 1350-7265Full text not available from this repository.
We consider the problem of approximating the density of the time at which a Brownian path first crosses a curved boundary in cases where the exact density is not known or is difficult to compute. Approximation methods which involve the use of images will be proposed. These methods can be used not only for one-sided boundaries but also for the case of two-sided boundaries; not only for concave boundaries but also for convex boundaries. The square root boundary and parabolic boundary provide examples for numerical comparisons of the approximation methods.
|Journal or Publication Title:||Bernoulli|
|Uncontrolled Keywords:||boundary crossing probabilities ; Brownian motion ; method of images|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Lancaster Environment Centre|
|Deposited On:||19 Nov 2008 09:37|
|Last Modified:||24 Jan 2016 00:01|
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