File:Reciprocal Histogram.svg

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Source: Wikipedia, the free encyclopedia.

Original file (SVG file, nominally 720 × 288 pixels, file size: 33 KB)

Summary

Description
English: Random draws from the reciprocal distribution plotted in a log-histogram shows that the distribution of the log(x) is uniform.
Date
Source Own work
Author Bscan

Licensing

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import numpy as np
import matplotlib.pyplot as plt
from scipy import stats

N = 1000000
orig = stats.reciprocal.rvs(a=0.1, b=100, size=N)

fig, ax  = plt.subplots(1,2, figsize=(8,3.2))
hist, bins, _ = plt.hist(orig, bins=8)
plt.cla()
ax[0].hist(orig, rwidth=0.8)
ax[0].set_xlabel("x")
ax[0].set_ylabel("C(x)")
ax[0].set_ylim(0, 1e6)

logbins = np.logspace(np.log10(bins[0]),np.log10(bins[-1]),len(bins))
ax[1].hist(orig, bins=logbins, rwidth=0.8)
ax[1].set_xscale('log')
ax[1].set_xlabel("x")
ax[1].set_ylabel("C(x)")
ax[1].set_ylim(0, 5e5)

plt.tight_layout()
plt.savefig("/dbfs/FileStore/Wikipedia/reciprocal_hist.svg")
display()

Captions

Histogram and log-histogram of random deviates from the reciprocal distribution

Items portrayed in this file

depicts

1 July 2019

33,412 byte

288 pixel

720 pixel

image/svg+xml

5d6f5d2bb6558869db3ad4d0c533459a14f2a9fa

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Date/TimeThumbnailDimensionsUserComment
current15:02, 1 July 2019Thumbnail for version as of 15:02, 1 July 2019720 × 288 (33 KB)BscanUser created page with UploadWizard

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