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File:Poisson pmf.svg

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Original file (SVG file, nominally 330 × 255 pixels, file size: 86 KB)

Summary

Description
English: Plot of the probability mass function for the Poisson distribution.
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 = {1 : 'orange', 4: 'purple', 10: 'lightblue'}

X = np.arange(0, 21)

plt.rc('text', usetex = True)
plt.rc('font', family = 'serif', size = 12)

##                                                                                
## PMF                                                                            
## 

plt.clf()
plt.figure(figsize=(4,3.2))

A = []
for L in 1,4,10:

    P = -L + X*np.log(L) - sp.gammaln(X+1)
    P = np.exp(P)

    plt.plot(X, P, '-', color='grey', label='_nolegend_')
    a = plt.plot(X, P, 'o', color=col[L], markeredgecolor='k', markeredgewidth=0.5)
    A.append(a)

plt.xlabel("$k$")
plt.ylabel(r"$P(x=k)$")
plt.ylim([0,0.4])
plt.yticks(np.arange(0,0.42,.05))
plt.tick_params(direction='in', top=True, right=True)

plt.legend((r"$\lambda=1$", r"$\lambda=4$", r"$\lambda=10$"),
                numpoints=1, handlelength=0.75, handletextpad=0.5,\
                loc="upper right", frameon=False)
plt.xlim(-1,21)

plt.savefig("poisson_pmf.pdf")
plt.savefig("poisson_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

10 February 2010

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image/svg+xml

File history

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Date/TimeThumbnailDimensionsUserComment
current03:26, 21 November 2020Thumbnail for version as of 03:26, 21 November 2020330 × 255 (86 KB)AkanoToERemoved white background and recropped to fit axis labels
03:23, 21 November 2020Thumbnail for version as of 03:23, 21 November 2020360 × 288 (39 KB)AkanoToEMade all text LaTeX, fixed legend text spacing
01:22, 12 September 2015Thumbnail for version as of 01:22, 12 September 2015360 × 288 (42 KB)TrlklyRemoved outer white background for aesthetic reasons (by hand).
20:23, 10 February 2010Thumbnail for version as of 20:23, 10 February 2010360 × 288 (42 KB)Skbkekas{{Information |Description={{en|1=Plot of the probability mass function for the Poisson distribution.}} |Source={{own}} |Author=Skbkekas |Date=2-10-2010 |Permission= |other_versions= }} Category:Statistical diagrams

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