Asymptotic Parameter Estimation for a Class of Linear Stochastic Systems Using Kalman-Bucy Filtering

Xiu Kan, Huisheng Shu and Yan Che

Mathematical Problems in Engineering, 2012, vol. 2012, 1-15

Abstract:

The asymptotic parameter estimation is investigated for a class of linear stochastic systems with unknown parameter 𠜃 ∶ 𠑑 𠑋 𠑡 = ( 𠜃 𠛼 ( 𠑡 ) + 𠛽 ( 𠑡 ) 𠑋 𠑡 ) 𠑑 𠑡 + 𠜎 ( 𠑡 ) 𠑑 𠑊 𠑡 . Continuous-time Kalman-Bucy linear filtering theory is first used to estimate the unknown parameter θ based on Bayesian analysis. Then, some sufficient conditions on coefficients are given to analyze the asymptotic convergence of the estimator. Finally, the strong consistent property of the estimator is discussed by comparison theorem.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:342705

DOI: 10.1155/2012/342705

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