Bayesian change-point estimation in the presence of a single outlier
C Belkacem, H Fellag - Afrika Statistika, 2012 - ajol.info
Afrika Statistika, 2012•ajol.info
The Bayesian estimation of the change-point in independent gaussian samples is
considered. The impact of an outlier on the performance of the Bayesian procedure is
studied and the posterior density under contamination is given. In this paper, we show that,
in the case of small samples, an outlier has a signicant impact on the estimation of the
change-point. However, if the sample size is enough high, the estimation performs well.
considered. The impact of an outlier on the performance of the Bayesian procedure is
studied and the posterior density under contamination is given. In this paper, we show that,
in the case of small samples, an outlier has a signicant impact on the estimation of the
change-point. However, if the sample size is enough high, the estimation performs well.
Abstract
The Bayesian estimation of the change-point in independent gaussian samples is considered. The impact of an outlier on the performance of the Bayesian procedure is studied and the posterior density under contamination is given. In this paper, we show that, in the case of small samples, an outlier has a signicant impact on the estimation of the change-point. However, if the sample size is enough high, the estimation performs well.
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