/usr/share/octave/packages/statistics-1.3.0/jsucdf.m is in octave-statistics 1.3.0-1.
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 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 | ## Copyright (C) 2006 Frederick (Rick) A Niles <niles@rickniles.com>
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {} jsucdf (@var{x}, @var{alpha1}, @var{alpha2})
## For each element of @var{x}, compute the cumulative distribution
## function (CDF) at @var{x} of the Johnson SU distribution with shape parameters
## @var{alpha1} and @var{alpha2}.
##
## Default values are @var{alpha1} = 1, @var{alpha2} = 1.
## @end deftypefn
## Author: Frederick (Rick) A Niles <niles@rickniles.com>
## Description: CDF of the Johnson SU distribution
## This function is derived from normcdf.m
## This is the TeX equation of this function:
##
## \[ F(x) = \Phi\left(\alpha_1 + \alpha_2
## \log\left(x + \sqrt{x^2 + 1} \right)\right) \]
##
## where \[ -\infty < x < \infty ; \alpha_2 > 0 \] and $\Phi$ is the
## standard normal cumulative distribution function. $\alpha_1$ and
## $\alpha_2$ are shape parameters.
function cdf = jsucdf (x, alpha1, alpha2)
if (! ((nargin == 1) || (nargin == 3)))
print_usage;
endif
if (nargin == 1)
m = 0;
v = 1;
endif
if (!isscalar (alpha1) || !isscalar(alpha2))
[retval, x, alpha1, alpha2] = common_size (x, alpha1, alpha2);
if (retval > 0)
error ("normcdf: x, alpha1 and alpha2 must be of common size or scalar");
endif
endif
one = ones (size (x));
cdf = stdnormal_cdf (alpha1 .* one + alpha2 .* log (x + sqrt(x.*x + one)));
endfunction
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