/usr/share/octave/packages/3.2/nan-2.4.4/moment.m is in octave-nan 2.4.4-1.
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 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 | function M=moment(i,p,opt,DIM)
% MOMENT estimates the p-th moment
%
% M = moment(x, p [,opt] [,DIM])
% M = moment(H, p [,opt])
% calculates p-th central moment from data x in dimension DIM
% of from Histogram H
%
% p moment of order p
% opt 'ac': absolute 'a' and/or central ('c') moment
% DEFAULT: '' raw moments are estimated
% DIM dimension
% 1: STATS of columns
% 2: STATS of rows
% default or []: first DIMENSION, with more than 1 element
%
% features:
% - can deal with NaN's (missing values)
% - dimension argument
% - compatible to Matlab and Octave
%
% see also: STD, VAR, SKEWNESS, KURTOSIS, STATISTIC,
%
% REFERENCE(S):
% http://mathworld.wolfram.com/Moment.html
% $Id: moment.m 8223 2011-04-20 09:16:06Z schloegl $
% Copyright (C) 2000-2002,2010 by Alois Schloegl <alois.schloegl@gmail.com>
% This functions is part of the NaN-toolbox
% http://pub.ist.ac.at/~schloegl/matlab/NaN/
% 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/>.
if nargin==2,
DIM=[];
opt=[];
elseif nargin==3,
DIM=[];
elseif nargin==4,
else
fprintf('Error MOMENT: invalid number of arguments\n');
return;
end;
if p<=0;
fprintf('Error MOMENT: invalid model order p=%f\n',p);
return;
end;
if isnumeric(opt) || ~isnumeric(DIM),
tmp = DIM;
DIM = opt;
opt = tmp;
end;
if isempty(opt),
opt='r';
end;
if isempty(DIM),
DIM = find(size(i)>1,1);
if isempty(DIM), DIM=1; end;
end;
N = nan;
if isstruct(i),
if isfield(i,'HISTOGRAM'),
sz = size(i.H)./size(i.X);
X = repmat(i.X,sz);
if any(opt=='c'),
N = sumskipnan(i.H,1); % N
N = max(N-1,0); % for unbiased estimation
S = sumskipnan(i.H.*X,1); % sum
X = X - repmat(S./N, size(X)./size(S)); % remove mean
end;
if any(opt=='a'),
X = abs(X);
end;
[M,n] = sumskipnan(X.^p.*i.H,1);
else
warning('invalid datatype')
end;
else
if any(opt=='c'),
[S,N] = sumskipnan(i,DIM); % gemerate N and SUM
N = max(N-1,0); % for unbiased estimation
i = i - repmat(S./N, size(i)./size(S)); % remove mean
end;
if any(opt=='a'),
i = abs(i);
end;
[M,n] = sumskipnan(i.^p,DIM);
end;
if isnan(N), N=n; end;
M = M./N;
|