File:Geometric cdf.svg

Original file(SVG file, nominally 675 × 288 pixels, file size: 116 KB)

Summary

Description
English: Plots of the cumulative distribution functions for several members of the geometric family of probability distributions.
Date
Source Own work
Author Skbkekas
SVG development
 This vector image was created with Matplotlib.

Python

```import numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp

col = {0.2: 'orange', 0.5: 'purple', 0.8: 'lightblue'}

plt.clf()
plt.figure(figsize=(7.5,3.2))
ax1 = plt.axes([0.08,0.13,0.4,0.8])
ax2 = plt.axes([0.57,0.13,0.4,0.8])
plt.hold(True)

X1 = np.arange(1,11)
X2 = np.arange(0,11)

ms = 4.9

A1,A2 = [],[]
for p in 0.2,0.5,0.8:
Y1 = 1 - (1-p)**X1
Y2 = 1 - (1-p)**(X2+1)
for k in range(len(Y1)-1):
ax1.plot([X1[k],X1[k]+1], [Y1[k],Y1[k]], '-', color='grey')
ax2.plot([X2[k],X2[k]+1], [Y2[k],Y2[k]], '-', color='grey')

ax1.plot(X1[1:], Y1[:-1], 'o', mec='k', mfc='w', ms=ms)
ax2.plot(X2[1:], Y2[:-1], 'o', mec='k', mfc='w', ms=ms)
a1 = ax1.plot(X1, Y1, 'o', color=col[p], ms=ms)
a2 = ax2.plot(X2, Y2, 'o', color=col[p], ms=ms)
A1.append(a1)
A2.append(a2)

ax1.set_xlabel("x")
ax1.set_ylabel(u"P(X\N{Less-THAN OR EQUAL TO}x)")
ax2.set_xlabel("x")
ax2.set_ylabel(u"P(X\N{Less-THAN OR EQUAL TO}x)")

bx1 = ax1.legend(A1, ("p=0.2", "p=0.5", "p=0.8"),\
bx2 = ax2.legend(A2, ("p=0.2", "p=0.5", "p=0.8"),\
bx1.draw_frame(False)
bx2.draw_frame(False)
ax1.set_xlim(-0.2,10.2)
ax2.set_xlim(-0.2,10.2)
ax1.set_ylim(-0.05,1.05)
ax2.set_ylim(-0.05,1.05)

plt.savefig("geometric_cdf.pdf")
plt.savefig("geometric_cdf.svg")
```

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

File history

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Date/TimeThumbnailDimensionsUserComment
current21:26, 1 May 2013675 × 288 (116 KB)DicklyonPaint in the missing strokes in upper right part of right plot.
00:34, 1 March 2010675 × 288 (76 KB)SkbkekasAdd open circles to make it clear that it is right continuous.
23:32, 26 February 2010675 × 288 (64 KB)Skbkekas{{Information |Description={{en|1=Plots of the cumulative distribution functions for several members of the geometric family of probability distributions.}} |Source={{own}} |Author=Skbkekas |Date=2010-02-26 |Permission= |other_versions=

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