The effect of (mis-specified) GARCH filters on the finite sample distribution of the BDS test

被引:25
作者
Brooks C. [1 ]
Heravi S.M. [2 ]
机构
[1] ISMA Centre, Department of Economics, University of Reading, Reading RG6 6AA, Whiteknights
[2] Cardiff Business School, University of Wales
关键词
BDS test; Finite sample distribution; GARCH filters; Monte Carlo study; Nonlinearity test;
D O I
10.1023/A:1008612905284
中图分类号
学科分类号
摘要
This paper considers the effect of using a GARCH filter on the properties of the BDS test statistic as well as a number of other issues relating to the application of the test. It is found that, for certain values of the user-adjustable parameters, the finite sample distribution of the test is far-removed from asymptotic normality. In particular, when data generated from some completely different model class are filtered through a GARCH model, the frequency of rejection of iid falls, often substantially. The implication of this result is that it might be inappropriate to use non-rejection of iid of the standardised residuals of a GARCH model as evidence that the GARCH model 'fits' the data. © 1999 Kluwer Academic Publishers.
引用
收藏
页码:147 / 162
页数:15
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