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Power-law distributions in empirical data
- ISSN 00361445. doi: 10.1137/ 070710111. URL http://dx.doi.org/10.1137/070710111
, 2009
"... Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the empirical detection and characterization of power laws is made difficult by the large fluctuations that occur in the t ..."
Abstract
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Cited by 607 (7 self)
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Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the empirical detection and characterization of power laws is made difficult by the large fluctuations that occur
Power law distributions in . . .
, 2003
"... Power law distributions have been found in many natural and social phenomena, and more recently in the source code and run-time characteristics of Object-Oriented (OO) systems. A power law implies that small values are extremely common, whereas large values are extremely rare. In this paper, we iden ..."
Abstract
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Power law distributions have been found in many natural and social phenomena, and more recently in the source code and run-time characteristics of Object-Oriented (OO) systems. A power law implies that small values are extremely common, whereas large values are extremely rare. In this paper, we
Power-law distribution in . . .
, 2012
"... Many sound-related applications use Mel-Frequency Cepstral Coefficients (MFCC) to describe audio timbral content. Most of the research efforts dealing with MFCCs have been focused on the study of different classification and clustering algorithms, the use of complementary audio descriptors, or the e ..."
Abstract
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-frequency distribution of such MFCC code-words, considering speech, music, and environmental sound sources. We show that, regardless of the sound source, MFCC codewords follow a shifted power-law distribution. This implies that there are a few code-words that occur very frequently and many that happen rarely. We also
Power-Law Distributions in
, 2008
"... Nuclear and radiological events are large-impact, hard-to-predict rare events, whose associated probability is exceedingly low. They can exert monumental impacts and lead to grave environmental and economic consequences. Identifying common trends of these events can help to assess the threat, and to ..."
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, and to combat it with better detection capabilities and practices. One way to achieve this is to model the events with established statistical and mathematical distributions. Power-law distribution is a good candidate because it is a probability distribution with asymptotic tails, and thus can be applied
Fitting Power Law Distributions to Data
"... In this paper, we will be testing whether the frequency of family names from the 2000 Census follow a power law distribution. Power law distributions are usually used to model data whose frequency of an event varies as a power of some attribute of that event. In our case, we will see if the frequenc ..."
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In this paper, we will be testing whether the frequency of family names from the 2000 Census follow a power law distribution. Power law distributions are usually used to model data whose frequency of an event varies as a power of some attribute of that event. In our case, we will see
Power-law Distributions in the Kauffman Net
, 1995
"... Kauffman net is a dynamical system of logical variables receiving two random inputs and each randomly assigned a boolean function. We show that the attractor and transient lengths exhibit scaleless behavior with power-law distributions over up to ten orders of magnitude. Our results provide evidence ..."
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Kauffman net is a dynamical system of logical variables receiving two random inputs and each randomly assigned a boolean function. We show that the attractor and transient lengths exhibit scaleless behavior with power-law distributions over up to ten orders of magnitude. Our results provide
Newman. Power-law distributions in
, 2013
"... The poweRlaw package provides an easy to use interface for fitting and visualising heavy tailed distributions, including power-laws. The fitting procedure follows the method detailed in Clauset et al. 1. This vignette gives examples of the fitting procedure. ..."
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The poweRlaw package provides an easy to use interface for fitting and visualising heavy tailed distributions, including power-laws. The fitting procedure follows the method detailed in Clauset et al. 1. This vignette gives examples of the fitting procedure.
Producing Power-Law Distributions and Damping . . .
, 2011
"... Standard statistical models of language fail to capture one of the most striking properties of natural languages: the power-law distribution in the frequencies of word tokens. We present a framework for developing statistical models that can generically produce power laws, breaking generative models ..."
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Standard statistical models of language fail to capture one of the most striking properties of natural languages: the power-law distribution in the frequencies of word tokens. We present a framework for developing statistical models that can generically produce power laws, breaking generative
TECTONOPHYSICS Sampling power-law distributions
, 1994
"... Power-law distributions describe many phenomena related to rock fracture. Data collected to measure the parameters of such distributions only represent samples from some underlying population. Without proper consider-ation of the scale and size limitations of such data, estimates of the population p ..."
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Power-law distributions describe many phenomena related to rock fracture. Data collected to measure the parameters of such distributions only represent samples from some underlying population. Without proper consider-ation of the scale and size limitations of such data, estimates of the population
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