Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective Not
stationary
Etymologies
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Examples
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The r2 statistic is quite simply inappropriate because it fails to accurately evaluate low-frequency skill in settings where the mean is nonstationary, which is the case in long-term paleoclimatological studies.
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Clive Granger (who recently won a Nobel) and Christopher Sims were raising all sorts of alarms about the problem of what is called nonstationary data.
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Meanwhile, the storm is not going to remain in place, it's nonstationary.
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If the process is nonstationary, it is not ergodic.
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So … why on earth would you apply sampling error to a set of observations when the thing that produces them is a highly stochastic process that only ever gives you one possibly nonstationary sample?
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In this article, a simple and logical definition of trend is given for any nonlinear and nonstationary time series as an intrinsically determined monotonic function within a certain temporal span most often that of the data span, or a function in which there can be at most one extremum within that temporal span.
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Because many of the difficulties concerning trend stem from the lack of a proper definition for the trend in nonlinear nonstationary data, a definitive and quantitative study on trend and detrending is needed.
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Re #132, TAC, nonstationary AR models can also generate long tailed histograms.
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Slightly OT, but there is a new article by Dr. Wu in the Proceedings of the National Academy of Sciences “On the trend, detrending, and variability of nonlinear and nonstationary time series”
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So … why on earth would you apply sampling error to a set of observations when the thing that produces them is a highly stochastic process that only ever gives you one possibly nonstationary sample?
Comments
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