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Examples
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If we accept Mr. Taleb's premise about power-law ascendancy, we are left with a troubling question: How do you function in a world where accurate prediction is rarely possible, where history isn't a reliable guide to the future and where the most important events cannot be anticipated?
Non-normal Distributions, Arnold Kling | EconLog | Library of Economics and Liberty 2009
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Text message sets often start off with a burst: the times between messages are short and follow a power-law distribution (that is, there are a lot of text messages with short intervals between them).
How To Build A Data Startup Edd Dumbill 2010
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Table 1 in Komatsu et al. contains the six primary parameters of the simplest LCDM model flat, Gaussian, adiabatic, power-law, together with seven derived ones.
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Here is a paper by Clauset et al that does this for power-law distributions, because people have a tendency to propose those from scaling behavior despite the fact that they can often be fitted with mere exponential distributions.
New Findings Say Mars Methane Comes from Life or Water — or Both | Universe Today 2009
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Unfortunately, well founded methods for analyzing power-law data have not yet taken root in all, or even most, of these areas and in many cases hypothesized distributions are not tested rigorously against the data.
New Findings Say Mars Methane Comes from Life or Water — or Both | Universe Today 2009
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Power laws again The team found that the duration both of phase-locking and unstable resynchronisation periods followed a power-law distribution.
New Scientist - Disorderly genius: How chaos drives the brain William Harryman 2009
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De la Fuente Marcos (1997) found that power-law (Salpeter 1955) like IMFs accelerate the cluster disruption if the initial population is small, and that at the end of the evolution, a huge number of binary systems with the same mass is formed.
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Note that Keprta et al doesn't even make a fit over two-three orders of magnitude as the failed power-law hypotheses does.
New Findings Say Mars Methane Comes from Life or Water — or Both | Universe Today 2009
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In this paper we have argued that the common practice of identifying and quantifying power-law distributions by the approximately straight-line behavior of a histogram on a doubly logarithmic plot should not be trusted: such straight-line behavior is a necessary but by no means sufficient condition for true power-law behavior.
New Findings Say Mars Methane Comes from Life or Water — or Both | Universe Today 2009
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This naturally leaves open the possibility that apparent power-law behavior is, in some cases at least, the result of wishful thinking.
New Findings Say Mars Methane Comes from Life or Water — or Both | Universe Today 2009
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