Of course I understand your point about ergodicity.    From Wordnik.com.  [Paul Linsay's Poisson Fit « Climate Audit] Reference

What it is lacking is not randomness, but ergodicity.    From Wordnik.com.  [TSA doesn't understand what "random" means - Boing Boing] Reference

This is exactly why we are concerned with ergodicity.    From Wordnik.com.  [More Bender on Hurricane Counts « Climate Audit] Reference

Here ergodicity can not help you because convergence will never happen.    From Wordnik.com.  [More Bender on Hurricane Counts « Climate Audit] Reference

But does this invalidate, or cast in doubt, any assumption of ergodicity?.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

There is the problem that strict ergodicity is not true of realistic systems.    From Wordnik.com.  [Philosophy of Statistical Mechanics] Reference

He has placed an assumption of ergodicity on the set of proxies, which cannot hold.    From Wordnik.com.  [Unthreaded #3 « Climate Audit] Reference

But because the agents behave nonlinearly, they do not satisfy the ergodicity assumption.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

It would be useful to seek out climatology papers that include the phrase “ergodicity”.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

This ergodicity is what allows you to assume that indivudal trees are replicates of one another.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

John Christy would understand the ergodicity problem with time-series lengths and ensemble sizes.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

Seems to me that warmers are in total denial of the ergodicity problem in statistical climatology.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

Is the assumption of ergodicity related to the assumptions inherent in the Uniformitarian Principle?.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

Rather than searching the phrase “sampling error” you might try “ergodicity” + “sample variance”.    From Wordnik.com.  [More Bender on Hurricane Counts « Climate Audit] Reference

And this is where ergodicity i.e. statistical interchangeability of time-series and series ensembles starts to matter.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

Because of singularities, classical GR evades some of the standard properties of statistical systems, such as ergodicity.    From Wordnik.com.  [Against Bounces] Reference

As an engineer doing casual thinking about climatology, I would not look to the NS, energy equations etc. to find ergodicity.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

(KAM) theorem shows that more realistic models (say of molecules interacting by means of "soft" potentials) are likely not to obey ergodicity in a strict sense.    From Wordnik.com.  [Philosophy of Statistical Mechanics] Reference

For folks who want to understand what ergodicity is and why it's important, lucia's got the nub of it: it's about the interchangeability of time series and series ensembles.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

So, in this context, I think it makes no difference if we speak about ergodicity or stationarity if math gurus disagree, cases of singular distributions etc, pl. tell it now.    From Wordnik.com.  [Paul Linsay's Poisson Fit « Climate Audit] Reference

He doesn't even address the conflict between Samuelson's principle of ergodicity and his own view that there is not really an equilibrium point.    From Wordnik.com.  [Firedoglake] Reference

Honestly, I’m a bit puzzled by any focus on ergodicity.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

Still haven’t got the ergodicity thing worked out, hunh?.    From Wordnik.com.  [Stern Review « Climate Audit] Reference

RE 26, Mark T, aren’t they just making an ergodicity assumption?.    From Wordnik.com.  [Gerry North Presentation on NAS Report « Climate Audit] Reference

Somehow they’ve stretched their uncorrelatedness to ergodicity across all proxies.    From Wordnik.com.  [Unthreaded #3 « Climate Audit] Reference

This may simply because we haven’t observed the system long enough to observe the predicted increasing frequency of landfall ergodicity, you Bayesians?.    From Wordnik.com.  [New Emanuel Presentation « Climate Audit] Reference

If not, then watch out: the sample series moments mean, variance will not have converged to the ensemble’s moments, ergodicity will not hold, and all bets are off.    From Wordnik.com.  [More Bender on Hurricane Counts « Climate Audit] Reference

It’s mostly over my head, but there’s a discussion of the literature on the search for low-dimensional climate attractor models, as well as ergodicity in geophysical systems.    From Wordnik.com.  [Water Vapor and Cloud Feedbacks « Climate Audit] Reference

For folks who want to understand what ergodicity is and why it’s important, lucia’s got the nub of it: it’s about the interchangeability of time series and series ensembles.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

Certainly, ergodicity is assumed.    From Wordnik.com.  [Exponential Growth in Physical Systems #2 « Climate Audit] Reference

I think “ergodicity” scared him.    From Wordnik.com.  [Demetris Koutsoyannis « Climate Audit] Reference

If ergodicity holds what can be shown?.    From Wordnik.com.  [Philosophy of Statistical Mechanics] Reference

Linsay's #39 clarifies my ergodicity argument.    From Wordnik.com.  [Paul Linsay's Poisson Fit « Climate Audit] Reference

That’s why we concern ourselves with ergodicity.    From Wordnik.com.  [New Hurricane Data Archive « Climate Audit] Reference