File:Exponential pdf.svg
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Original file (SVG file, nominally 360 × 288 pixels, file size: 32 KB)
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This is a file from the Wikimedia Commons. The description on its description page there is shown below.
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Summary
| Description |
English: Plot of the density function of several exponential distributions. |
| Date | |
| Source | Own work |
| Author | Skbkekas |
| Other versions |
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| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
col = {0.5: 'orange', 1: 'purple', 1.5: 'lightblue'}
X = np.arange(0, 5, 0.01)
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## PDF
##
plt.clf()
plt.figure(figsize=(4,3.2))
plt.axes([0.15,0.13,0.79,0.8])
plt.hold(True)
A = []
for L in 0.5,1,1.5:
P = L*np.exp(-L*X)
a = plt.plot(X, P, '-', color=col[L], lw=2.5)
A.append(a)
plt.xlabel("x")
plt.ylabel("P(x)")
bx = plt.legend(A, (r"$\lambda=0.5$", r"$\lambda=1$", r"$\lambda=1.5$"),\
numpoints=1, handletextpad=0.5, loc="upper right")
bx.draw_frame(False)
plt.xlim(0,5)
plt.savefig("exponential_pdf.pdf")
plt.savefig("exponential_pdf.svg")
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## CDF
##
plt.clf()
plt.figure(figsize=(4,3.2))
plt.axes([0.15,0.13,0.79,0.8])
plt.hold(True)
A = []
for L in 0.5,1,1.5:
P = 1- np.exp(-L*X)
a = plt.plot(X, P, '-', color=col[L], lw=2.5)
A.append(a)
plt.xlabel("x")
plt.ylabel(u"P(X\N{Less-THAN OR EQUAL TO}x)")
bx = plt.legend(A, (r"$\lambda=0.5$", r"$\lambda=1$", r"$\lambda=1.5$"),\
numpoints=1, handletextpad=0.5, loc="lower right")
bx.draw_frame(False)
plt.xlim(0,5)
plt.savefig("exponential_cdf.pdf")
plt.savefig("exponential_cdf.svg")
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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 09:18, 18 February 2010 | 360 × 288 (32 KB) | Skbkekas | {{Information |Description={{en|1=Plot of the density function of several exponential distributions.}} |Source={{own}} |Author=Skbkekas |Date=2010-02-18 |Permission= |other_versions= }} Category:Statistical diagrams |
File usage
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