Experiment design for controlled partially observed fractional diffusion process

Chunhao Cai; Wujun LV

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arXiv · 1609.08948

Experiment design for controlled partially observed fractional diffusion process

Chunhao Cai·Wujun LV

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Abstract

We consider a controlled second order differential equation which is partially observed with an additional fractional noise. we study the asymptotic (for large observation time) design problem of the input and give an efficient estimator of the unknown signal drift parameter. When the input depends on the unknow parameter, we will try the one-step estimation procedure using the Newton-Raphson method.

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Chunhao Cai, Wujun LV. 2016-09-28. Experiment design for controlled partially observed fractional diffusion process. https://arxiv.org/abs/1609.08948

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