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**Detection of outliers and patches in bilinear time series models.**
*(English)*
Zbl 1191.94062

Summary: We propose a Gibbs sampling algorithm to detect additive outliers and patches of outliers in bilinear time series models based on Bayesian view. We first derive the conditional posterior distributions, and then use the results of first Gibbs run to start the second adaptive Gibbs sampling. It is shown that our procedure could reduce possible effects on masking and swamping. At last, some simulations are performed to demonstrate the efficacy of detection and estimation by Monte Carlo methods.

### MSC:

94A13 | Detection theory in information and communication theory |

62M10 | Time series, auto-correlation, regression, etc. in statistics (GARCH) |

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\textit{P. Chen} et al., Math. Probl. Eng. 2010, Article ID 580583, 10 p. (2010; Zbl 1191.94062)

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