Solving Power Law Distribution in Python
BullyWiiPlaza
I have data that closely resembles a power law distribution. Using Python, I want to approximate the data by solving two equations in the form:
y is the y axis data. In Python it would be data[i]. x would be i + 1. It follows that we get two equations with two unknown variables at the first data index and at a "random" 2nd one somewhere else in the data:
The problem comes down to solving just
due to mathematical simplification. I don't know how to solve an equation like this using libraries like numpy.linalg.solve. How do I find the value of a using Python?
BullyWiiPlaza
Alright, I got it.
import math
def get_power_law_variables(data):
c = data[0]
middle_index = len(data) / 2
division = float(data[middle_index]) / c
logarithm_base = middle_index + 1
a = math.log(division, logarithm_base)
return c, a
# Example usage
data = range(50, 150)
c, a = get_power_law_variables(data)
print c, a
Collected from the Internet
Please contact [email protected] to delete if infringement.
edited at
- Prev: Inserting records between JSON entries using PHP
- Next: Angular2 replacing component dynamically inside another component
Related
Related Related
- 1
Python : generating random numbers from a power law distribution
- 2
How can I find the power law parameter of a Student-t distribution in Python?
- 3
Creating power law distribution chart based on raw data
- 4
create random graph with "same" power-law degree distribution
- 5
Sample a truncated integer power law in Python?
- 6
Fit a power law to empirical data in Python
- 7
Create directed random graph specifing alpha of power-law degree distribution
- 8
Generating power-law distributed numbers from uniform distribution – found 2 approaches: which one is correct?
- 9
Generating power-law distributed numbers from uniform distribution – found 2 approaches: which one is correct?
- 10
Use function mle2() in bbmle package(R) to get parameters for exponential and power law distribution
- 11
Fitting a power-law with powerlaw.py in Python 3
- 12
Fitting a power-law with powerlaw.py in Python 3
- 13
python nodal/piecewise-linear power-law generator
- 14
How to find a fitting power law?
- 15
SciPy Curve Fit Fails Power Law
- 16
Min max optimizations for power law parameters in R
- 17
Implementing a Broken Power Law as a fitting function in Origin
- 18
Power Law in Excel works better than R?
- 19
How to add power law likelihood to Netlogo Model
- 20
Ergodic Markov chain stationary distribution: solving eqns
- 21
De Morgan Law in Python 3
- 22
Calculating vectors with the cosine law (Python)
- 23
Fitting power-law distributions with poweRlaw package in R
- 24
NLS And Log-Periodic Power Law (LPPL) in R
- 25
R: fitting power law curve to data (starting value for c)
- 26
NLS And Log-Periodic Power Law (LPPL) in R
- 27
'Power of' in python
- 28
Python : Apply distributive law to elements in list
- 29
Benford's Law Plotting in Python 3.5.2
Comments