English: Marginal probability density functions for order statistics for a sample of size n=5 independent identically exponentially distributed random variables. Scale parameter is unity.
exponential scale parameter (characteristic life) for standard form:
eta = 1.0
exponential pdf and cdf:
pdf (t) = eta * exp (-eta * t)
cdf (t) = 1 - exp (-eta * t)
set xrange [0:5]
set yrange [0:2.3]
set format y "%0.1f"
set label 1 "i = 1" at 0.25,2.10
set label 2 "i = 2" at 0.48,1.30
set label 3 "i = 3" at 0.83,0.92
set label 4 "i = 4" at 1.25,0.68
set label 5 "i = 5" at 2.40,0.37
set style line 1 lt 1 lc rgb "#0000FF" lw 3.6
set style line 2 lt 1 lc rgb "#00FF00" lw 3.6
set style line 3 lt 1 lc rgb "#FF0000" lw 3.6
set style line 4 lt 1 lc rgb "#000000" lw 3.6
set style line 5 lt 1 lc rgb "#AA00FF" lw 3.6
plot b15 (cdf (x)) * pdf (x) with lines ls 1 title "i = 1", \
b24 (cdf (x)) * pdf (x) with lines ls 2 title "i = 2", \
b33 (cdf (x)) * pdf (x) with lines ls 3 title "i = 3", \
b42 (cdf (x)) * pdf (x) with lines ls 4 title "i = 4", \
b51 (cdf (x)) * pdf (x) with lines ls 5 title "i = 5"
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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.
original creation by uploader<\/a>"}},"text\/plain":{"en":{"P7482":"original creation by uploader"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P7482 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">