I spoke with Schiminovich about what we can achieve by taking first moments (means) of low signal-to-noise data. There is quite a bit you can do (I think), though we haven't worked out all the details. This all relates to our hope of constraining properties of quasars and the Universe with low signal-to-noise GALEX observations.
I'm sure you know this, but depending on the kind of noise, you can be better off taking medians than means.
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