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Results tagged with asymptotics
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user 22157
Asymptotic behavior of functions, asymptotic series and related topics
4
votes
A Stochastic Taylor Expansion/Asymptotics
Write $f(t) := \mathbb E \left[ \exp\left( - \int_0^t r_s \ d s \right) \right]$. Define stochastic processes $y_t = \exp \left( -\int_0^t r_s \ d s \right)$ and $z_t = r_t y_t$. Then
$y_t = 1 - \int_ …
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