On first-crossing times of one-dimensional diffusions over two time-dependent boundaries

Some problems of first-crossing times over two time-dependent boundaries for one-dimensional diffusion processes are considered. The moments of the first-crossing times over each boundary are shown to be the solutions of certain partial differential equations with suitable boundary conditions. For s...

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Veröffentlicht in:Stochastic analysis and applications 2000, Vol.18 (2), p.179-200
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description Some problems of first-crossing times over two time-dependent boundaries for one-dimensional diffusion processes are considered. The moments of the first-crossing times over each boundary are shown to be the solutions of certain partial differential equations with suitable boundary conditions. For some examples where the boundaries are constant, the results are illustrated graphically
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source Taylor & Francis:Master (3349 titles)
subjects Exact sciences and technology
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Ordinary differential equations
Partial differential equations
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Stochastic processes
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
title On first-crossing times of one-dimensional diffusions over two time-dependent boundaries
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