File:Poisson cdf.svg

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Original file (SVG file, nominally 327 × 260 pixels, file size: 91 KB)

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Summary

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Description
English: Plot of the cumulative distribution function for a 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

X = np.arange(0,21)

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

##                                                                                
## CDF                                                                            
## 

col = {1: 'orange', 4: 'purple', 10: 'lightblue'}

plt.clf()
plt.figure(figsize=(4,3.2))
plt.axes([0.17,0.13,0.79,0.8])

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

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

    for k in range(1,len(X)):
        plt.plot([k-1,k], [P[k-1],P[k-1]], '-', 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(u"$P(X\le k)$")

bx = plt.legend((r"$\lambda=1$", r"$\lambda=4$", r"$\lambda=10$"),\
                numpoints=1, handletextpad=0, loc="lower right")
bx.draw_frame(False)
plt.xlim([-1,21])
plt.ylim([0,1])

plt.savefig("poisson_cdf.pdf")
plt.savefig("poisson_cdf.svg")

Licensing

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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.

File history

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Date/TimeThumbnailDimensionsUserComment
current03:25, 21 November 2020Thumbnail for version as of 03:25, 21 November 2020327 × 260 (91 KB)AkanoToE (talk | contribs)Made all text LaTeX, fixed legend text spacing
01:23, 12 September 2015Thumbnail for version as of 01:23, 12 September 2015360 × 288 (53 KB)Trlkly (talk | contribs)Removed outer white background for aesthetic reasons (by hand).
20:25, 10 February 2010Thumbnail for version as of 20:25, 10 February 2010360 × 288 (54 KB)Skbkekas (talk | contribs){{Information |Description={{en|1=Plot of the cumulative distribution function for a Poisson distribution}} |Source={{own}} |Author=Skbkekas |Date=2010-2-10 |Permission= |other_versions= }} Category:Statistical diagrams

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