A symmetry-based constructive approach to probability densities for one-dimensional diffusion processes

A symmetry-based constructive approach to probability densities for one-dimensional diffusion processes

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Article ID: iaor1990781
Country: Israel
Volume: 26
Issue: 4
Start Page Number: 1
End Page Number: 7
Publication Date: Dec 1989
Journal: Journal of Applied Probability
Authors: , ,
Abstract:

Special symmetry conditions on the transition p.d.f. of one-dimensional time-homogeneous diffusion processes with natural boundaries are investigated and exploited to derive closed-form results concerning the transition p.d.f.’s in the presence of absorbing and reflecting boundaries and the first-passage-time p.d.f. through time-dependent boundaries.

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