The tool allows to retrieve and fit empirical data to the distribution of folded Gaussian random variables, including the distribution of sum and difference of pairs of random variables.

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Folded-Gaussian-Distributions

% The code allows to retrieve and perform parametric fit of the analytical p.d.f. 
% for the random variables U,V,W,Z defined through support random variables X, Y:
% X: Gaussian distributed random variable with mean mu1 and std sigma1,
% Y: Gaussian distributed random variable with mean mu2 and std sigma2,
%
% the code fits empirical data to the distribution of the variables U, V:
% U=|X| : folded Gaussian distributed random variable,
% V=|Y| : folded Gaussian distributed random variable,
%
% and to the distributions of random variables W, Z:
% W=|X|+|Y| : sum of folded distributed random variables,
% Z=|X|-|Y| : difference of folded distributed random variables,
%
% for completeness, the code also supports truncated Gaussian distributed random variables.
% developed for (Ferro, van Kempen, Boyd, Panzeri, Thiele, PNAS 2021).

Mathematical derivation with exact formulas

datacite.yml
Title	A simple tool to perform parametric fit to folded Gaussian distributions.
Authors	Ferro,Demetrio;Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08002 Barcelona, ES;ORCID:0000-0003-4969-1415
Description	The tool allows to fit empirical data to folded Gaussian distributions and the sum/difference of folded Gaussian distributions.
License	Creative Commons Attribution-NonCommercial-ShareAlike-4.0 International (https://creativecommons.org/licenses/by-nc-sa/4.0/)
References	D. Ferro, J. van Kempen, M. Boyd, S. Panzeri and A. Thiele, PNAS 2021 [doi:10.1073/pnas.2022097118] (IsSupplementTo)
Funding
Keywords	Gaussian distribution folded gaussian distribution
Resource Type	Software

README.md

Folded-Gaussian-Distributions