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File:Geometric pmf.svg

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Original file (SVG file, nominally 675 × 288 pixels, file size: 52 KB)

Summary

Description
English: Plot of the probability mass functions of several members of the family of geometric distributions.
Date
Source Own work
Author Skbkekas
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

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)

A1,A2 = [],[]
for p in 0.2,0.5,0.8:
    Y1 = (X1-1)*np.log(1-p) + np.log(p)
    Y1 = np.exp(Y1)
    Y2 = X2*np.log(1-p) + np.log(p)
    Y2 = np.exp(Y2)
    ax1.plot(X1, Y1, '-', color='grey', lw=1)
    ax2.plot(X2, Y2, '-', color='grey', lw=1)
    a1 = ax1.plot(X1, Y1, 'o', color=col[p], lw=3)
    a2 = ax2.plot(X2, Y2, 'o', color=col[p], lw=3)
    A1.append(a1)
    A2.append(a2)

ax1.set_xlabel("x")
ax1.set_ylabel("P(X=x)")
ax2.set_xlabel("x")
ax2.set_ylabel("P(X=x)")

bx1 = ax1.legend(A1, ("p=0.2", "p=0.5", "p=0.8"),\
                 numpoints=1, handletextpad=0, loc="upper right")
bx2 = ax2.legend(A2, ("p=0.2", "p=0.5", "p=0.8"),\
                numpoints=1, handletextpad=0, loc="upper 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_pmf.pdf")
plt.savefig("geometric_pmf.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 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.

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inception

26 February 2010

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Date/TimeThumbnailDimensionsUserComment
current23:30, 26 February 2010Thumbnail for version as of 23:30, 26 February 2010675 × 288 (52 KB)Skbkekas{{Information |Description={{en|1=Plot of the probability mass functions of several members of the family of geometric distributions.}} |Source={{own}} |Author=Skbkekas |Date=2010-02-26 |Permission= |other_versions= }} [[Category:Statis

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