Mathematics – Statistics Theory
Scientific paper
2006-11-01
Annals of Statistics 2007, Vol. 35, No. 4, 1773-1801
Mathematics
Statistics Theory
Published in at http://dx.doi.org/10.1214/009053606000001479 the Annals of Statistics (http://www.imstat.org/aos/) by the Inst
Scientific paper
10.1214/009053606000001479
We consider asymptotic problems in spectral analysis of stationary causal processes. Limiting distributions of periodograms and smoothed periodogram spectral density estimates are obtained and applications to the spectral domain bootstrap are given. Instead of the commonly used strong mixing conditions, in our asymptotic spectral theory we impose conditions only involving (conditional) moments, which are easily verifiable for a variety of nonlinear time series.
Shao Xiaofeng
Wu Wei Biao
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