File:Geometric cdf.svg

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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
Created with Matplotlib-logo.svg
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"),\
                 numpoints=1, handletextpad=0, loc="lower right")
bx2 = ax2.legend(A2, ("p=0.2", "p=0.5", "p=0.8"),\
                numpoints=1, handletextpad=0, loc="lower right")
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:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported 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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:26, 1 May 2013Thumbnail for version as of 21:26, 1 May 2013675 × 288 (116 KB)DicklyonPaint in the missing strokes in upper right part of right plot.
00:34, 1 March 2010Thumbnail for version as of 00:34, 1 March 2010675 × 288 (76 KB)SkbkekasAdd open circles to make it clear that it is right continuous.
23:32, 26 February 2010Thumbnail for version as of 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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