Outliers in a time series often cause problems in fitting a suitable model to the data. Hence predictions based on such models are liable to be erroneous. In this paper we consider a stable first-order autoregressive process and suggest two methods of substituting an outlier by imputed values and then predicting on the basis of it. The asymptotic properties of both the process parameter estimators and the predictors are also studied.
Social Statistics Division, Central Statistical Organisation, Ministry of Statistics & Programme Implementation, Government of India, West Block 8, Wing 6, Sector 1, R.K. Puram, New Delhi 110066, India