Discussiones Mathematicae Probability and Statistics 21(1) (2001) 11-20
Department of Mathematics
Faculty of Sciences, University of Tizi-Ouzou
Tizi-Ouzou, 15000 Algeria
The testing problem on the first-order autoregressive parameter in finite sample case is considered. The innovations are distributed according to the exponential distribution. The aim of this paper is to study how much the size of this test changes when, at some time k, an innovation outlier contaminant occurs. We show that the test is rather sensitive to these changes.
Keywords: autoregressive model, exponential distribution, outlier, test.
2000 Mathematics Subject Classification: 62F11, 62M10.
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Received 10 April 2000
Revised 7 May 2001