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A Bayesian analysis of a change in the mean of independent normal sequence with contaminated observation

Abdeldjalil Slama, Hocine Fellag

Abstract


In this paper, we consider a Bayesian analysis of a change in the mean of independent gaussian samples in the presence of a single outlier. An unconditional Bayesian significance test for testing change versus no change is performed under consideration of non informative prior distribution of the parameters. From a numerical study using the Gibbs sampler algorithm, the effect of a contaminated observation on the performance of the Bayesian significance test of change is studied.

Keywords: Gaussian models; Change-point; HPD region sets; p-value; Outliers.

AMS 2010 Mathematics Subject Classification Objects: 91B84; 62F15; 62F03




http://dx.doi.org/10.16929/jas/14/2
AJOL African Journals Online