Logistic_cdf.svg


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Description
English: The cumulative distribution function of a logistic distribution.
Date
Source Own work
Author Krishnavedala
W3C-validity not checked.
Source code python :
from numpy import *
from matplotlib.pyplot import *
from mpl_toolkits.axes_grid.axislines import SubplotZero
 
e = lambda mu,s,x: exp( (mu-x)/s )
cdf = lambda mu,s,x: 1./ ( 1. + e(mu,s,x) )

fig = figure(figsize=(6,5))
ax = SubplotZero(fig,111)
fig.add_subplot(ax)

ax.grid(True)
ax.minorticks_on()
 
x = linspace(-5,20,100)
mu = [5,9,9,6,2]
s = [2,3,4,2,1]
for b in arange(5):
	ax.plot(x,cdf(mu[b],s[b],x),lw=1.5,label=r'$\mu=%d,\, s=%d$'%(mu[b],s[b]))#'$c={}^1\!/_2$')

ax.set_ylim(0,1)
ax.set_xlim(-5,20)
ax.legend(loc='lower right',frameon=False)

fig.savefig("test.svg",bbox_inches="tight",pad_inches=.15)

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain . This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose , without any conditions, unless such conditions are required by law.

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25 September 2011

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