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The relative root mean squared errors (RMSE) of nonparametric methods forspectral estimation is compared for microwave scattering data of plasmafluctuations. These methods reduce the variance of the periodogram estimate byaveraging the spectrum over a frequency bandwidth. As the bandwidth increases,the variance decreases, but the bias error increases. The plasma spectra varyby over four orders of magnitude, and therefore, using a spectral window isnecessary. We compare the smoothed tapered periodogram with the adaptivemultiple taper methods and hybrid methods. We find that a hybrid method, whichuses four orthogonal tapers and then applies a kernel smoother, performs best.For 300 point data segments, even an optimized smoothed tapered periodogram hasa 24 \% larger relative RMSE than the hybrid method. We present two newadaptive multi-taper weightings which outperform Thomson's original adaptiveweighting.

Spectral Estimation of Plasma Fluctuations I: Comparison of Methods