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File:BetaDistrCDF2.svg

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Original file (SVG file, nominally 720 × 540 pixels, file size: 1.82 MB)

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Description
English: SVG version of .
Date
Source Own work
Author Shiyu Ji
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

# Beta distribution CDF when 5*alpha = beta.
# Idea from Dr. J. Rodal
# Use Inkscape to enlarge and adjust the figure position 
# (degroup, enlarge and regroup the SVG elements etc.).

from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as pl
from matplotlib import cm
import numpy as np
from scipy.special import beta, betainc
import scipy.integrate as integral
# Prepare the data by Ix(a, 5a)
X = np.arange(0.0,  1.0, .02)
A = np.arange(0.0, 10.0, .002)
gridX, gridA = np.meshgrid(X, A)
Z = np.ndarray(shape=gridX.shape, dtype = float)
for i in range(len(X)):
  for j in range(len(A)):
    if A[j] < 0.001: 
      Z[j][i] = betainc(0.001, 0.005, X[i])
    else:  Z[j][i] = betainc(A[j], 5*A[j], X[i])
# Draw the data
fig = pl.figure()
ax = fig.add_subplot(111, projection = '3d')
pl.xticks([0.0, 0.5, 1.0])
pl.yticks([0.0, 5.0, 10.0])
ax.contour(gridX, gridA, Z, zdir='z', offset=0)
ax.plot_surface(gridX, gridA, Z, lw = 0.0)
ax.plot_wireframe(gridX, gridA, Z, lw = 1.0, color = 'black', \
   rstride=1000, cstride=10)
ax.set_xlim([0.0,  1.0])
ax.set_ylim([0.0, 10.0])
ax.set_zlim([0, 1.0])
ax.set_xlabel('x')
ax.set_ylabel('alpha')
ax.set_zlabel('CDF')
ax.view_init(30,250)
fig.savefig('betaDistrCDF2.svg')

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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5 October 2017

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e522f1e91f3c0b7a2465070925ade5bb6889da28

1,904,010 byte

540 pixel

720 pixel

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Date/TimeThumbnailDimensionsUserComment
current05:12, 6 October 2017Thumbnail for version as of 05:12, 6 October 2017720 × 540 (1.82 MB)Shiyu JiUser created page with UploadWizard

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