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File:Exponential cdf.svg

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Original file (SVG file, nominally 360 × 288 pixels, file size: 32 KB)

Summary

Description
English: Plot of the cumulative distribution functions of several exponential distributions.
Date
Source Own work
Author Skbkekas
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

import numpy as np
import matplotlib.pyplot as plt

col = {0.5: 'orange', 1: 'purple', 1.5: 'lightblue'}

X = np.arange(0, 5, 0.01)

##                                                                              
## 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")


##                                                                              
## 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")

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
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.

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inception

18 February 2010

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Date/TimeThumbnailDimensionsUserComment
current18:11, 21 November 2020Thumbnail for version as of 18:11, 21 November 2020360 × 288 (32 KB)AkanoToEMade all text LaTeX, fixed spacing in legend
17:20, 18 February 2010Thumbnail for version as of 17:20, 18 February 2010360 × 288 (30 KB)Skbkekas{{Information |Description={{en|1=Plot of the cumulative distribution functions of several exponential distributions.}} |Source={{own}} |Author=Skbkekas |Date=2010-02-18 |Permission= |other_versions= }} [[Category:Statistical charts and
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