期刊
JOURNAL OF TIME SERIES ANALYSIS
卷 32, 期 5, 页码 447-461出版社
WILEY-BLACKWELL
DOI: 10.1111/j.1467-9892.2010.00703.x
关键词
Spectral density; stationary process; goodness-of-fit tests; L-2-distance; integrated periodogram
资金
- German Research Foundation (DFG) [SFB 823]
In this article, new tests for non-parametric hypotheses in stationary processes are proposed. Our approach is based on an estimate of the L-2-distance between the spectral density matrix and its best approximation under the null hypothesis. We explain the main idea in the problem of testing for a constant spectral density matrix and in the problem of comparing the spectral densities of several correlated stationary time series. The method is based on direct estimation of integrals of the spectral density matrix and does not require the specification of smoothing parameters. We show that the limit distribution of the proposed test statistic is normal and investigate the finite sample properties of the resulting tests by means of a small simulation study.
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