File:Poisson approximation to Binomial.svg
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File:Poisson approximation to Binomial.svg
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Captions
Statistics graph showing the convergence of the Poisson and Binomial Distribution
Summary
[edit ]
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()
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[edit ]I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero
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.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:29, 14 May 2019 | Thumbnail for version as of 15:29, 14 May 2019 | 360 ×ばつ 288 (27 KB) | Bscan (talk | contribs) | Minor bug in original code |
| 15:25, 14 May 2019 | Thumbnail for version as of 15:25, 14 May 2019 | 360 ×ばつ 288 (27 KB) | Bscan (talk | contribs) | User created page with UploadWizard |
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| Width | 288pt |
|---|---|
| Height | 230.4pt |
