Estimating MA Parameters through Factorization of the Autocovariance Matrix and an MA†Sieve Bootstrap

Timothy L. McMurry and Dimitris N. Politis

Journal of Time Series Analysis, 2018, vol. 39, issue 3, 433-446

Abstract: A new method to estimate the moving†average (MA) coefficients of a stationary time series is proposed. The new approach is based on the modified Cholesky factorization of a consistent estimator of the autocovariance matrix. Convergence rates are established, and the new estimates are used to implement an MA†type sieve bootstrap. Finite†sample simulations corroborate the good performance of the proposed methodology.

Date: 2018
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