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A bootstrap-based approach for parameter and polyspectral density estimation of a non-minimum phase ARMA process

Shahnoor Shanta and Visakan Kadirkamanathan

International Journal of Systems Science, 2015, vol. 46, issue 3, 418-428

Abstract: A bootstrap-based methodology is developed for parameter estimation and polyspectral density estimation in the case of the approximating model of the underlying stochastic process being non-minimum phase autoregressive-moving-average (ARMA) type, given a finite realisation of a single time series data. The method is based on a minimum phase/maximum phase decomposition of the system function together with a time reversal step for the parameter and polyspectral confidence interval estimation. Simulation examples are provided to illustrate the proposed method.

Date: 2015
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DOI: 10.1080/00207721.2013.784444

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