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Nonlinear maximum likelihood estimation of autoregressive time series

Date

1995

Authors

McWhorter, L. Todd, author
Scharf, Louis L., author
IEEE, publisher

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Abstract

In this paper, we describe an algorithm for finding the exact, nonlinear, maximum likelihood (ML) estimators for the parameters of an autoregressive time series. We demonstrate that the ML normal equations can be written as an interdependent set of cubic and quadratic equations in the AR polynomial coefficients. We present an algorithm that algebraically solves this set of nonlinear equations for low-order problems. For high-order problems, we describe iterative algorithms for obtaining a ML solution.

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Subject

nonlinear equations
Gaussian processes
polynomials
time series
autoregressive processes
iterative methods
signal processing
maximum likelihood estimation

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