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The Cusum of Squares Test for Scale Changes in Infinite Order Moving Average Processes

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  • Sangyeol Lee
  • Siyun Park

Abstract

In this paper we consider the problem of testing for a scale change in the infinite order moving average process Xj=Σ∞i=0aiεj−i, where εj are i.i.d. r.v.s with Eε1α 0. In performing the test, a cusum of squares test statistic analogous to Inclan & Tiao’s (1994) statistic is considered. It is well‐known from the literature that outliers affect test procedures leading to false conclusions. In order to remedy this, a cusum of squares test based on trimmed observations is considered. It is demonstrated that this test is robust against outliers, is valid for infinite variance processes as well. Simulation results are given for illustration.

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  • Sangyeol Lee & Siyun Park, 2001. "The Cusum of Squares Test for Scale Changes in Infinite Order Moving Average Processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(4), pages 625-644, December.
    • Handle: RePEc:bla:scjsta:v:28:y:2001:i:4:p:625-644
    DOI: 10.1111/1467-9469.00259
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