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A Bayesian multiple structural change regression model with autocorrelated errors

Jaehee Kim and Chulwoo Jeong

Journal of Applied Statistics, 2016, vol. 43, issue 9, 1690-1705

Abstract: This paper develops a new Bayesian approach to change-point modeling that allows the number of change-points in the observed autocorrelated times series to be unknown. The model we develop assumes that the number of change-points have a truncated Poisson distribution. A genetic algorithm is used to estimate a change-point model, which allows for structural changes with autocorrelated errors. We focus considerable attention on the construction of autocorrelated structure for each regime and for the parameters that characterize each regime. Our techniques are found to work well in the simulation with a few change-points. An empirical analysis is provided involving the annual flow of the Nile River and the monthly total energy production in South Korea to lead good estimates for structural change-points.

Date: 2016
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DOI: 10.1080/02664763.2015.1117592

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