File:T distribution 30df enhanced.svg
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Size of this PNG preview of this SVG file: 360 × 360 pixels. Other resolutions: 240 × 240 pixels  480 × 480 pixels  600 × 600 pixels  768 × 768 pixels  1,024 × 1,024 pixels.
Original file (SVG file, nominally 360 × 360 pixels, file size: 67 KB)
Summary[edit]
Description 
English: Student's tdistribution with 30 degrees of freedom. Enhanced imaging


Date  
Source  Own work  
Author  IkamusumeFan  
SVG development 

Plot using Python Matplotlib.
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:

This file is licensed under the Creative Commons AttributionShare Alike 3.0 Unported license.  

Python (Matplotlib)[edit]
import numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp
X = np.arange(4, 4, 0.01) # range of the graph
plt.clf()
plt.figure(figsize=(4,4))
plt.axes([0.17,0.13,0.79,0.8])
plt.hold(True)
Q = [] # No curves at first.
# Draw the previous Student's tdistributions
nu = 30 # freedom degree = 30
for previous_nu in range(1,nu):
mu = 0 # mean = 0
A = np.exp(sp.gammaln((previous_nu+1)/2.0));
B = np.exp(sp.gammaln(previous_nu/2.0))*np.sqrt(previous_nu*np.pi);
C = (1+X*X/previous_nu)**((previous_nu+1)/2.0);
Y = A*C/B;
a = plt.plot(X, Y, '', color='green', lw=1)
Q.append(a)
# Draw the curve of Normal distribution
mu = 0 # mean = 0
sigma = 1 # variance = 1
A = 1/(sigma*np.sqrt(2*np.pi))
B = np.exp((Xmu)*(Xmu)/(2*sigma*sigma));
Y = A*B
a = plt.plot(X, Y, '', color='blue', lw=2)
Q.append(a)
# Draw the curve of Student's tdistribution
mu = 0 # mean = 0
A = np.exp(sp.gammaln((nu+1)/2.0));
B = np.exp(sp.gammaln(nu/2.0))*np.sqrt(nu*np.pi);
C = (1+X*X/nu)**((nu+1)/2.0);
Y = A*C/B;
a = plt.plot(X, Y, '', color='red', lw=2)
Q.append(a)
# Remaining steps to finish drawing the graph.
plt.xlabel("x")
plt.ylabel("P(x)")
plt.xlim(4,4)
# Saving the output.
plt.savefig("T_distribution_1df.pdf")
plt.savefig("T_distribution_1df.eps")
plt.savefig("T_distribution_1df.svg")
File history
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Date/Time  Thumbnail  Dimensions  User  Comment  

current  09:10, 29 April 2016  360 × 360 (67 KB)  IkamusumeFan (talk  contribs)  revise based on discussions  
04:55, 21 July 2013  360 × 360 (86 KB)  IkamusumeFan (talk  contribs)  The previous edition is wrong on the degrees of freedom.  
04:26, 21 July 2013  360 × 360 (86 KB)  IkamusumeFan (talk  contribs)  Thicker lines for visibility.  
04:16, 21 July 2013  360 × 360 (86 KB)  IkamusumeFan (talk  contribs)  User created page with UploadWizard 
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