Asymptotic behavior of functionals of the solutions to inhomogeneous Itô stochastic differential equations with nonregular dependence on parameter
The asymptotic behavior, as $T\to \infty $, of some functionals of the form $I_{T}(t)=F_{T}(\xi _{T}(t))+{\int _{0}^{t}}g_{T}(\xi _{T}(s))\hspace{0.1667em}dW_{T}(s)$, $t\ge 0$ is studied. Here $\xi _{T}(t)$ is the solution to the time-inhomogeneous Itô stochastic differential equation \[d\xi _{T}(t)...
Main Authors: | Grigorij Kulinich, Svitlana Kushnirenko |
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Format: | Article |
Language: | English |
Published: |
VTeX
2017-09-01
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Series: | Modern Stochastics: Theory and Applications |
Subjects: | |
Online Access: | https://vmsta.vtex.vmt/doi/10.15559/17-VMSTA83 |
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