Analysis of Wavelet Based Maximum
نویسنده
چکیده
This paper provides a theoretical analysis of the properties of Wavelet based maximum likelihood estimation of the parameters describing 1=f processes embedded in white noise. This analysis shows that such a scheme is only consistent for spectral exponents in the range 2 (0; 1). This is in contradiction to the results suggested in previous empirical studies. When 2 (0; 1) this paper also establishes that Wavelet based maximum likelihood methods are asymptotically Gaussian and eecient. Finally, the asymptotic rate of mean{square convergence of the parameter estimates is established and is shown to slow as approaches one.
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