Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
L.T. McWhorter , Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
L.L. Scharf , Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
Describes an algorithm for finding the exact maximum likelihood (ML) estimators for the parameters of an autoregressive time series. The authors demonstrate that the ML normal equations can be written as an interdependent set of cubic and quadratic equations in the AR polynomial coefficients. They present an algorithm, based on the properties of Sylvester resolvent matrices, that solves this set of non-linear equations for low-order problems.<
maximum likelihood estimation, time series, autoregressive processes, polynomials, matrix algebra, nonlinear equations
L. McWhorter and L. Scharf, "Nonlinear maximum likelihood estimation of AR time series," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 928-932.