/usr/share/openturns/validation/CoefficientOfVariation.txt is in openturns-validation 1.5-7build2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 | > restart:
> Sn:=factor(1/(N+p-1)*(sum(1/(N+p)^2,k=1..N+p-1)+(1-1/(N+p))^2));
1
Sn := -----
N + p
> C:=factor(sqrt(1/(N+p))/(1-1/(N+p)-sqrt(2*log(log(N+p))/(N+p))/(N+p)))
> ;
1/2
(N~ + p~)
C := ---------------------------------------
1/2 /ln(ln(N~ + p~))\1/2
N~ + p~ - 1 - 2 |---------------|
\ N~ + p~ /
> plot(subs(N=10,factor(C*(1-1/(N+p)))),p=1..10);
> factor(subs(p=1,C*(1-1/(N+p))));
N~
-------------------------------------------
1/2 / 1/2 /ln(ln(N~ + 1))\1/2\
(N~ + 1) |N~ - 2 |--------------| |
\ \ N~ + 1 / /
> solve(sqrt(log(log(N+1)))>=0,N);1/(N+1)^(1/2)*N/(N-2^(1/2)*(ln(ln(N+1)
> )/(N+1))^(1/2));
RealRange(exp(1) - 1, infinity)
N~
-------------------------------------------
1/2 / 1/2 /ln(ln(N~ + 1))\1/2\
(N~ + 1) |N~ - 2 |--------------| |
\ \ N~ + 1 / /
> plot(sqrt(log(log(N+1))),N=0..10);
>
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