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This paper is concerned with the estimation of parameters in spectral density of a stationary process. A new estimate of the parameter is proposed by using the bootstrap method. We call it the bootstrap maximum likelihood estimate (BMLE). In this paper, under suitable regularity conditions, the BMLE is shown to be consistent and asymptotically normal.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 14, 2005
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