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Estimation of parameters for Hilbert space-valued partially observable stochastic processes

Wilfried Loges

Journal of Multivariate Analysis, 1986, vol. 20, issue 1, 161-174

Abstract: We give the asymptotic statistical theory (strong consistency and asymptotic normality) of a modified least-square-estimator for the parameters of a linear time discrete Kalman-filter-system. The method of proof uses a strong law of large numbers for martingale difference and ergodic sequences and a central limit theorem for q-dependent stationary processes.

Date: 1986
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