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The First Passage Time of Diffusions

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 170))

Abstract

The basic statistical properties of the FPT from a point to the boundary of a given domain were investigated in Chapter 4.4 by means of equations derived from Itô’s formula and Kolmogorov’s representation formulas. The PDF of the FPT was discussed in Section 4.4.3, its moments were discussed in Section 4.4.1, and the exit distribution in Section 4.4.2.

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Schuss, Z. (2010). The First Passage Time of Diffusions. In: Theory and Applications of Stochastic Processes. Applied Mathematical Sciences, vol 170. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1605-1_6

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