CoolSceptic
Muse
- Joined
- Mar 6, 2008
- Messages
- 689
Thanks, unfortunately Reality Check and I had a slight miscommunication and we seem to be stuck there at the moment with no hope of progressI think CoolSkeptic is right about this, to approximately the same degree that the RealClimate blog author cited by RealityCheck was right to say "We have heard arguments that so-called 'random walk' [sic] can produce similar hikes in temperature" and to place similar claims about AR, ARMA, ARIMA, and FARIMA models in the historical context of claims about random walks.
ETA: Having reviewed this, I do not think FARIMA and random walks are comparable, since random walks violate the law of conservation of energy, and FARIMA models do not. So it is quite wrong to place them in the same context as there is a key differentiator. /ETA
Well, broadly I agree, although I think we can reject some statistical models, e.g. random walks, as being unphysical due to the fact they can drift to unphysically large values. So I think we can constrain the type of statistical model likely, which is what Professor Koutsoyiannis tries to do both from theoretical considerations (e.g. the paper on extremal entropy production above) but also on observational grounds:In other words, those who wish to deny the statististical significance of climate trends will always be able to postulate a statistical model that's capable of such complex behavior that a null hypothesis based upon that statistical model cannot be rejected at customary levels of confidence.
Markonis, Y., and D. Koutsoyiannis, Climatic variability over time scales spanning nine orders of magnitude: Connecting Milankovitch cycles with Hurst–Kolmogorov dynamics, Surveys in Geophysics, 34 (2), 181–207, 2013.
Otherwise, I largely agree with your comments.
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