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![File:Poisson approximation to Binomial.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/0/03/Poisson_approximation_to_Binomial.svg/360px-Poisson_approximation_to_Binomial.svg.png)
Size of this PNG preview of this SVG file: 360 × 288 pixels. Other resolutions: 300 × 240 pixels | 600 × 480 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 360 × 288 pixels, file size: 27 KB)
Summary
DescriptionPoisson approximation to Binomial.svg |
English: Statistics graph showing the convergence of the Poisson and Binomial Distribution. |
Date | |
Source | Own work |
Author | Bscan |
import numpy as np
import matplotlib.pyplot as plt
from scipy import stats
X = np.arange(7)
plt.clf()
plt.figure(figsize=(4,3.2))
plt.axes([0.17,0.13,0.79,0.8])
ax = plt.gca()
P = stats.poisson.pmf(X, mu=1)
ax.vlines(X, 0, P, color='dimgray', label=r"P($\lambda=1$)")
B10 = stats.binom.pmf(X, n=10, p=1/10)
plt.plot(X, B10, '--', color='orange')
plt.plot(X, B10, 'o', fillstyle='none', color='orange', label=r"B(n=10, p=1/10)")
B100 = stats.binom.pmf(X, n=100, p=1/100)
plt.plot(X, B100, '--', color='purple')
plt.plot(X, B100, 'o', fillstyle='none', color='purple', label=r"B(n=100, p=1/100)")
plt.xlabel("k")
plt.xlim(-0.5,6.5)
plt.legend()
plt.savefig("/dbfs/FileStore/Wikipedia/poisson_approx_pmf.svg")
display()
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Captions
Statistics graph showing the convergence of the Poisson and Binomial Distribution
Items portrayed in this file
depicts
graph
creator
some value
copyright status
copyrighted, dedicated to the public domain by copyright holder
copyright license
Creative Commons CC0 License
inception
14 May 2019
source of file
original creation by uploader
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 15:29, 14 May 2019 | ![]() | 360 × 288 (27 KB) | Bscan | Minor bug in original code |
15:25, 14 May 2019 | ![]() | 360 × 288 (27 KB) | Bscan | User created page with UploadWizard |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Metadata
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If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 288pt |
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Height | 230.4pt |
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