An inverse first-passage problem for one-dimensional diffusions with random starting point
We consider an inverse first-passage time (FPT) problem for a homogeneous one-dimensional diffusion X(t), starting from a random position η. Let S(t) be an assigned boundary, such that P(η≥S(0))=1, and F an assigned distribution function. The problem consists of finding the distribution of η such that the FPT of X(t) below S(t) has distribution F. We obtain some generalizations of the results of Jackson et al., 2009, which refer to the case when X(t) is Brownian motion and S(t) is a straight line across the origin.
Year of publication: |
2012
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Authors: | Abundo, Mario |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 82.2012, 1, p. 7-14
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Publisher: |
Elsevier |
Subject: | First-passage time | Inverse first-passage problem | Diffusion |
Saved in:
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