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Originally Posted by shockwavephysics
1. If g has multiple parameters, do you average the curves, or do you average the individual parameters (or does it matter)?

You average the value as a function of
, so 'you average the curves.'
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2. When the book says we can think of it this way, does it mean this is not the exact definition?

This would be a finitesample estimate of
that gets closer and closer to the expected value (which is the formal definition) as you use more and more data sets.