Abstract:
We present a convergence theorem for a computable continuous-time recursive maximum likelihood method with resetting, under realistic conditions. Resetting takes place if...Show MoreMetadata
Abstract:
We present a convergence theorem for a computable continuous-time recursive maximum likelihood method with resetting, under realistic conditions. Resetting takes place if the estimator process hits the boundary of a pre-specified compact domain, or if the rate of change, in a stochastic sense, of the parameter process would hit a fixed threshold. The modified recursive maximum likelihood estimator converges to the true value of the parameter almost surely and in Lq for any q, provided that the threshold imposed on the rate of change of the parameter is sufficiently small. We also show that the rate of convergence in Lq is O(T-1/2). The proof, the outline of which will be given, is based on an extension of the scheme of Benveniste, Metivier and Priouret (BMP) to estimation problems described in terms of continuous-time linear stochastic systems.
Published in: 2009 European Control Conference (ECC)
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3