misc: delete directory since now it is useless
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4011082680
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805e68d1e3
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from matplotlib import pyplot as plt
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import numpy as np
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def moyal(x, μ, σ):
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N = (1)/(np.sqrt(2 * np.pi) * σ)
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return N * np.exp(- 0.5 * ((x - μ)/σ + np.exp(- (x - μ)/σ)))
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# prepare plot
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# plt.figure()
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plt.figure(figsize=(3, 2))
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plt.rcParams['font.size'] = 8
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plt.ylim = (-0.02, 0.23)
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# do plot
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x = np.arange(-10, 30, 0.01)
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μ = -0.22278298
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σ = 1.1191486
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plt.plot(x, moyal(x, μ, σ), color='gray')
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# save fig
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plt.tight_layout()
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# plt.show()
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plt.savefig('slides/images/moyal-pdf.pdf', transparent=True)
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skewness and kurtosis are constant:
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$$
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s = \frac{28 \sqrt{2} Z(3)]{\pi^3} \et k = 7
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$$
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max value:
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$$
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\frac{1}{\sqrt{2 e \pi}}
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$$
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