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arXiv · 0705.1783

Recursive Parameter Estimation: Asymptotic expansion

Teo Sharia
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Abstract

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. The model considered in the paper is very general as we do not impose any preliminary restrictions on the probabilistic nature of the observation process and cover a wide class of nonlinear recursive procedures. In this paper we study asymptotic behaviour of the recursive estimators. The results of the paper can be used to determine the form of a recursive procedure which is expected to have the same asymptotic properties as the corresponding non-recursive one defined as a solution of the corresponding estimating equation.

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Teo Sharia. 2007-05-12. Recursive Parameter Estimation: Asymptotic expansion. https://arxiv.org/abs/0705.1783

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