File:Benktander2PDF.svg

Summary

Description
English: Benktander Type II distribution pdf.
Date
Source Own work
Author Shiyu Ji

Gnuplot Source Code

set term svg size 800,600 enhanced font 'Arial, 24'
set output 'benktander2PDF.svg'

set samples 500
set xrange [1:5]
set yrange [0:3]
set xtics 1
set ytics 0.2
set xzeroaxis lt -1 lc rgb "black" lw 1
set yzeroaxis lt -1 lc rgb "black" lw 1

# Draw the Benktander type-II distribution's pdf
set key default

f(x, a, b) = exp(a/b*(1-x**b))*x**(b-2)*(a*x**b-b+1)

plot f(x, 1.0, 1.0) t "a=1, b=1" lc rgb "red" lw 5,\
   f(x, 2.0, 1.0) t "a=2, b=1" lc rgb "black" lw 5,\
   f(x, 3.0, 1.0) t "a=3, b=1" lc rgb "blue" lw 5,\
   f(x,1.0, 0.5) t "a=1, b=0.5" lc rgb "green" lw 5,\
   f(x,1.0, 0.2) t "a=1, b=0.2" lc rgb "grey" lw 5

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International 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.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-4.0#Benktander2PDF.svgCategory:Self-published work
Category:Probability distributions
Category:CC-BY-SA-4.0 Category:Probability distributions Category:Self-published work