📄 custom_tinv.m
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function x = custom_tinv(p, v)
% custom_tinv - returns inverse CDF of the Student's t-distribution
%
% FORMAT: x = custom_tinv(p, v);
%
% Input fields:
%
% p CDF of t distribution with v d.f. at points x
% v d.f. of distribution function
%
% Output fields:
%
% x t-variate (Student's t has range (-Inf,Inf))
% Version: v0.6f
% Build: 7070509
% Date: Jul-05 2007, 9:51 AM CEST
% Author: Alois Schloegl <a.schloegl@ieee.org>
% argument check
if nargin < 2 || ...
~isa(p, 'double') || ...
~isa(v, 'double') || ...
isempty(v) || ...
any(isnan(p(:))) || ...
any(isinf(v(:)) | isnan(v(:)) | v(:) < 0)
error( ...
'BVQXtools:BadArgument', ...
'Missing or invalid argument given.' ...
);
end
if isempty(p)
x = [];
return;
end
osize = size(p);
if numel(p) == 1 && ...
numel(v) > 1
osize = size(v);
end
p = p(:);
v = v(:);
% calculus
x = reshape(...
(sign(p - 1/2) .* sqrt(v ./ custom_betainv(2 * min(p, 1-p), v ./ 2, 1/2) - v)), ...
osize);
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