Power laws are theoretically interesting probability distributions that are also frequently used to describe empirical data. In recent years, effective statistical methods for fitting power laws have been developed, but appropriate use of these techniques requires significant programming and statistical insight. In order to greatly decrease the barriers to using good statistical methods for fitting power law distributions, we developed the powerlaw Python package. This software package provides easy commands for basic fitting and statistical analysis of distributions. Notably, it also seeks to support a variety of user needs by being exhaustive in the options available to the user. The source code is publicly available and easily extensible.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3906378 | PMC |
| http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0085777 | PLOS |
Publication Analysis
Top Keywords
Similar Publications
Insights into particle dispersion and damage mechanisms in functionally graded metal matrix composites with random microstructure-based finite element model.
Sci Rep
September 2024
Department of Mechanical Design and Production Engineering, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt.
This study investigates the impact of particle volume fraction and distribution on the deformation and damage of particle-reinforced metal matrix composites, particularly in the context of functionally graded metal matrix composites. In this study, a two-dimensional nonlinear random microstructure-based finite element modeling approach implemented in ABAQUS/Explicit with a Python-generated script to analyze the deformation and damage mechanisms in composites. The plastic deformation and ductile cracking of the matrix are captured using the Gurson-Tvergaard-Needleman model, whereas particle fracture is modelled using the Johnson-Holmquist II model.
View Article and Find Full Text PDFFlow and hydrodynamic shear stress inside a printing needle during biofabrication.
PLoS One
September 2020
Biofluid Simulation and Modeling, Universität Bayreuth, Bayreuth, Germany.
We present a simple but accurate algorithm to calculate the flow and shear rate profile of shear thinning fluids, as typically used in biofabrication applications, with an arbitrary viscosity-shear rate relationship in a cylindrical nozzle. By interpolating the viscosity with a set of power-law functions, we obtain a mathematically exact piecewise solution to the incompressible Navier-Stokes equation. The algorithm is validated with known solutions for a simplified Carreau-Yasuda fluid, full numerical simulations for a realistic chitosan hydrogel as well as experimental velocity profiles of alginate and chitosan solutions in a microfluidic channel.
View Article and Find Full Text PDFMeasurement of exclusive photoproduction in ultraperipheral pPb collisions at .
Eur Phys J C Part Fields
August 2019
University of Wisconsin-Madison, Madison, WI USA.
Exclusive photoproduction is measured for the first time in ultraperipheral pPb collisions at with the CMS detector. The cross section is b at for photon-proton centre-of-mass energies between 29 and . The differential cross section is measured in the interval as a function of , where is the squared four-momentum transfer at the proton vertex.
View Article and Find Full Text PDFThe origin of the Debye relaxation in liquid water and fitting the high frequency excess response.
Phys Chem Chem Phys
July 2017
Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA.
We critically review the literature on the Debye absorption peak of liquid water and the excess response found on the high frequency side of the Debye peak. We find a lack of agreement on the microscopic phenomena underlying both of these features. To better understand the molecular origin of Debye peak we ran large scale molecular dynamics simulations and performed several different distance-dependent decompositions of the low frequency dielectric spectra, finding that it involves processes that take place on scales of 1.
View Article and Find Full Text PDFPowerlaw: a Python package for analysis of heavy-tailed distributions.
PLoS One
September 2014
Section on Critical Brain Dynamics, National Institute of Mental Health, Bethesda, Maryland, United States of America.
Power laws are theoretically interesting probability distributions that are also frequently used to describe empirical data. In recent years, effective statistical methods for fitting power laws have been developed, but appropriate use of these techniques requires significant programming and statistical insight. In order to greatly decrease the barriers to using good statistical methods for fitting power law distributions, we developed the powerlaw Python package.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!