Drift parameter estimation in stochastic differential equation with multiplicative stochastic volatility

We consider a stochastic differential equation of the form \[ dX_{t}=\theta a(t,X_{t})\hspace{0.1667em}dt+\sigma _{1}(t,X_{t})\sigma _{2}(t,Y_{t})\hspace{0.1667em}dW_{t}\] with multiplicative stochastic volatility, where Y is some adapted stochastic process. We prove existence–uniqueness results for...

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Bibliographic Details
Main Authors: Meriem Bel Hadj Khlifa, Yuliya Mishura, Kostiantyn Ralchenko, Mounir Zili
Format: Article
Language:English
Published: VTeX 2016-12-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/16-VMSTA66