Parameter estimation for partially observed nonlinear stochastic system Online publication date: Tue, 02-Apr-2019
by Chao Wei; Chaobing He
International Journal of Computing Science and Mathematics (IJCSM), Vol. 10, No. 2, 2019
Abstract: This paper is concerned with the parameter estimation problem for partially observed nonlinear stochastic system. The suboptimal estimation of the state is obtained by constructing the extended Kalman filtering equation. The likelihood function is provided based on state estimation equation. The strong consistency of the estimator is proved by applying maximal inequality for martingales, Borel-Cantelli lemma and uniform ergodic theorem. An example is provided to verify the effectiveness of the method.
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