periodogram

Now Mann estimates his spectrum using Thomson's multitaper method - Stoica did not discuss this methodology; the purpose of the multitaper method is to reduce the variance of the estimate, so probably it's less bad than the periodogram, but still the whole procedure, whatever it is, doesn't sound promising.

Not A Solution to the Caramilk Secret « Climate Audit 2006

Update: The relevant section of Stoica says that the estimates of the Fourier coefficients through the periodogram are inconsistent and do not converge with N, but behave as a random variable.

Not A Solution to the Caramilk Secret « Climate Audit 2006

Following added above: The relevant section of Stoica says that the estimates of the Fourier coefficients through the periodogram are inconsistent and do not converge with N, but behave as a random variable.

Not A Solution to the Caramilk Secret « Climate Audit 2006

Power-spectral density estimated with the Lomb periodogram of the temperature inferred from the deuterium concentrations in the Vostok East Antarctica ice core.

Pelletier [2002] on Temperature Autocorrelation « Climate Audit 2005

Power-spectral density estimated with the Lomb periodogram of the temperature inferred from the deuterium concentrations in the Vostok East Antarctica ice core.

More on realclimate on Cohn and Lins « Climate Audit 2005

Distances near zero are overrepresented, and the corresponding peak has been taken from the periodogram (this peak is on the plot for the ideal distribution).

Naturejobs - All Jobs Anthony Mathelier 2010

Then, we compute the periodogram of the histogram using the FFT of the corresponding series (in practice, we used the function spec. pgram of the R language).

Naturejobs - All Jobs Anthony Mathelier 2010

Namely, given a periodogram, we consider all spectra that are local maxima, compute the distribution of these spectra, and extract those periods that are associated to spectra lying on the queue of the distribution, that is at least

Naturejobs - All Jobs Anthony Mathelier 2010

For each periodogram, we identify a period, possibly several periods, whose spectral values are sufficiently distant from the mean of the distribution.

Naturejobs - All Jobs Anthony Mathelier 2010

We count how many maximal spectral values are higher than the maximal spectral value of the corresponding periodogram on the original genome.

Naturejobs - All Jobs Anthony Mathelier 2010