Am. Sabatini, Wavelet-based estimation of 1/f-type signal parameters: Confidence intervals using the bootstrap, IEEE SIGNAL, 47(12), 1999, pp. 3406-3409
We propose to construct confidence intervals of parameters of 1/f-type sign
als using a nonparametric wavelet based bootstrap method. Bootstrap-based c
onfidence intervals of maximum likelihood parameter estimates are compared
to the confidence intervals derived from the Cramer-Rao lower bound (CRLB).
For moderately large data sample sizes, the bootstrap approach achieves th
e nominal coverage and may perform better than the CRLB-based parametric ap
proach.