Poisson_approximation_to_Binomial.svg
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Summary
| Description |
English:
Statistics graph showing the convergence of the Poisson and Binomial Distribution.
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| 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 . |
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