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The distribution of the maxima of periodograms is considered in the case where the time series is made up of regularly sampled, uncorrelated Gaussians. It is pointed out that if there is no oversampling, then for large data sets, the known distribution of maxima tends to a one-parameter Gumbel distribution. Simulations are used to demonstrate that for oversampling by large factors, a two-parameter...

The analysis of indexed astronomical time series – XI. The statistics of oversampled white noise periodograms