Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective Not
Gaussian
Etymologies
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Examples
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These anisotropies are largely due to a quantum fluctuation, such as the scalar field of inflation inflaton, and we would not expect statistics which violated this, such as significant non-Gaussian distributions.
Seven-Year WMAP Results: No, They're NOT Anomalies | Universe Today 2010
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(Gotta love Figures 1 and 2: bell-shaped but non-Gaussian curves, with no numbers on the axes.)
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Many of the issues – autocorrelation, non-Gaussian distributions, and attempts to prove rather than disprove hypotheses -are familiar, so regulars here should have no problem poking holes in it.
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You need to watch it if there are outliers from non-Gaussian heavy-tailed distributions, and a favourite topic of yours, I believe heavily autocorrelated errors like stationary ARMA processes.
Mannomatic Smoothing and Pinned End-points « Climate Audit 2007
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The reason is that IF there is a signal, then it will have non-Gaussian properties, and a sufficient amount of properties will allow some processing method to distinguish the signal from the noise.
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Many of the issues – autocorrelation, non-Gaussian distributions, and attempts to prove rather than disprove hypotheses – are familiar, so regulars here should have no problem poking holes in it. jae
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Linear optimal estimation with Gaussian inputs is fun, but things get tricky in real life when we have non-linear systems with non-Gaussian inputs.
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ARMA modelling with non-Gaussian innovations, Journal of Time Series Analysis, V.9, pp.155–168.
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Benoit Mandelbrot, one of the great mathematicians of the 20th century, who pioneered the analysis of chaotic and complex systems, describes, in The (Mis) behaviour of Markets, how economists ignored 40 years of progress in the study of earthquakes, weather, ecology and other complex systems, partly because the non-Gaussian mathematics used to study chaos did not offer the precise answers of EMH.
unknown title 2009
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Benoit Mandelbrot, one of the great mathematicians of the 20th century, who pioneered the analysis of chaotic and complex systems, describes, in The (Mis) behaviour of Markets, how economists ignored 40 years of progress in the study of earthquakes, weather, ecology and other complex systems, partly because the non-Gaussian mathematics used to study chaos did not offer the precise answers of EMH.
unknown title 2009
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