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plt.figure(figsize=(12, 10)) plt.plot(x, y_n, label='Normal (Kurtosis: 0)') plt.plot(x, y_cosine, label='Raised Cosine (Kurtosis: -0.59)') plt.plot(x, y_wigner, label='Wigner
Semicircle (Kurtosis: -1)') plt.plot(x, y_uniform, label='Uniform (Kurtosis: -1.2)')
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scos = 1.0 / np.sqrt(1/3.0 - 2/np.pi**2) return np.where(np.abs(x) > scos, 0, (1 + np.cos(x * np.pi / scos)) * 0.5 / scos)
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plt.legend() plt.xlabel('x') plt.ylabel('Probability
Density') plt.title('Some Bounded Distributions')
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I, the copyright holder of this work, hereby publish it under the following license:
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Uploaded while editing "Sub-Gaussian distribution" on en.wikipedia.org
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y_n = n(x) y_cosine = cosine(x) y_wigner = wigner(x) y_uniform = uniform(x)
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Bounded probability distributions, compared with the normal distribution.svg
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return np.where(np.abs(x) > 2, 0, np.sqrt(4 - x**2) * 0.5 / np.pi)
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return np.where(np.abs(x) > np.sqrt(3), 0, 0.5 / np.sqrt(3))
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Creative
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Commons is a freely licensed media file repository.
150:import numpy as np import matplotlib.pyplot as plt
466:https://commons.wikimedia.org/User:Cosmia_Nebula
161:return np.exp(-0.5 * x**2) / np.sqrt(2 * np.pi)
338:https://creativecommons.org/licenses/by-sa/4.0
215:plt.savefig('some_bounded_distributions.svg')
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191:Calculate y-axis values for each distribution
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158:def n(x):
148:```python
27:File usage
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559:inception
256:Licensing
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735:Metadata
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308:to remix
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
