Definitions
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. a card or badge used to identify the bearer
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Examples

David Hedges, aka Dave.i.d., is a bit of a mystery.

I specifically used choose to deal with nonreplacement rather than multiplying i.i.d probabilities.

Yep, take N samples from i.i.d gaussian, sort the data in ascending order, sort the data in descending order..

If you can generate that process long memory component + white noise etc using i.i.d series as driving noise, you can apply the above method.

What is the null hypothesis in Fig 7 a and c significant regime shifts? i.i.d Gaussian?

Indeed, this serves as rather a pretty illustration of noni.i.d. errors in a pretty simple situation.

Positive temporal correlation means that there must be lowfrequency variation in the temperatures, not helping either. i.i.d process with annual deviation of 0.15 C would be easier to reconstruct in RMSE sense with noisy observations than a positively correlated process with 0.15 C sd driving noise – the former has lower variability.

Regression assumptions presume independent identically distributed i..i.d errors, which is not demonstrated in MBH98 and appears to be untrue, although this discussion is beyond the scope of this article.

But now here is a change for statistical inference: after we get 5sigmas we can drop the ‘Gaussian i.i.d’ hypothesis.

Shortly: Hansen shows that global temperature is not Gaussian i.i.d process.
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