Investigation of the Change Point in Mean of Normal Sequence Having an Outlier

In this study, the change point in mean of the sequence of the random variables from normal distribution under  the case of having an outlier in the sequence is considered. Under with this case, the maximum likelihood  estimate of the change point and the estimates of the change point using robust methods are computed. The  performances of the maximum likelihood method and robust methods on the estimation of the change point  according to outlier locations with different sample sizes are investigated via extensive simulation studies. Key words: Change point; outlier; maximum likelihood method; robust methods; simulation.