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Questions tagged [power-law]

A power law is a functional relationship between two quantities, where one quantity varies as a power of another.

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Power law distribution with R

I tried to visualize a Power Law p(x)=x^(-2.5) with following R code. When you use an log-scale in the end you get a lot of vibrations what is okay as can be seen here But know, and this is my Problem, I read an article where the author says I have…
YGOG
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Power-law distribution in T-SQL

I basically need the answer to this SO question that provides a power-law distribution, translated to T-SQL for me. I want to pull a last name, one at a time, from a census provided table of names. I want to get roughly the same distribution as…
DanO
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power law distribution fitting

I have a sample of data, with the sample size being around 500,000. I am currently trying to fit the sample with power law distribution, using the poweRlaw package in R. So this is my code to that end: pl_rg <- conpl$new(a) estimate_xmin(pl_rg, xmax…
Burry Xie
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How to fit a power law distribution in R from a histogram

I have implemented the method for fitting data to a power law distribution explained in the paper "power-law distributions in empirical data by Clauset et al" Then you have my code which works well and is using as an input the implemented example…
ivangtorre
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Keeping scale free graph's degree distribution after perturbation - python

Given a scale free graph G ( a graph whose degree distribution is a power law), and the following procedure: for i in range(C): coint = randint(0,1) if (coint == 0): delete_random_edges(G) else: add_random_edge(G) (C is…
ONE1234
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How good is the fit? Python Powerlaw Package

I have made a powerlaw fit to my data with python package powerlaw with a simple: powerlaw.Fit(Weights, xmin= min(Weights)) where Weights is my data. I have used distribution_compare and obtained that lognormal is the best fit. But now I would like…
RM-
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Fitting power law function with PyMC

I am currently trying to use PyMC for determining the parameters of a power law fit for given data. I am using the pdf formula taken from: A. Clauset, C. R. Shalizi, and M. E. J. Newman, "Power-law distributions in empirical data," Siam rev.,…
fsociety
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Fitting power-law distributions with poweRlaw package in R

With poweRlaw library, and once computed alpha and xmin with estimate_xmin, which formula the script uses to compute the fitted values? I mean, assuming that y=C·x^(-alpha), my question is how the script computes the normalization constant from…
Alvaro
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How to plot CCDF graph on a logarithmic scale?

I want to plot a CCDF graph for some of my simulated power-law tail data on a log-log axis, below is my R code of plotting a CCDF graph on a normal axis, I used the code on the link: (How to plot a CCDF gragh?) > load("fakedata500.Rda") >…
user3579282
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Comparing frequency data and zipf / rank data

Several times over the years I have wanted to work with frequency lists (character, word, n-gram, etc) of varying quality but never figured out how to use them together. At the time I intuited that lists with just rank and no other data should be…
hippietrail
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Min max optimizations for power law parameters in R

Assuming a data set is drawn from a power law distribution when the value is greater than $x_{min}$. I want to estimate the $\alpha$ and $x_{min}$ for the power law distribution in R. According to…
Zebra Propulsion Lab
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Fit data to a power distribution (java)

Much like in Excel where we can take a distribution and make a trendline for it (power law), how can I calculate that in Java for an array of numbers?
JMH
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Generating a connected and directed network in R

I am trying to generate a directed and connected scale-free network in R, such that, the in- and out-degrees of the network follow a power-law. I tried the below methods, g<-sample_fitness_pl(10000, 1000000, 2.7, 2.7) generates a network with a…
user3856486
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Checking if my data follows an exponential, a stretched exponential function or power law

I want to check if the probability density of my data follows power-law, exponential or stretched exponential function. I have the following code, and I am using scipy's powerlaw.fit and expon.fit() but I am not sure how to check for stretched…
S C
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Bipartite graph with vertices with power law distribution

I need to create a network, which is a bipartite graph, and the degree of the vertices obeys power statistics. And then check if its true with print(bipartite.is_bipartite(G)) In the bipartite.projected_graph() function, I substitute a random graph…
Александр Соколов
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