📄 pearson_momentfit.m
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function pearsonb=pearson_momentfit(alpha3,alpha4);%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% PEARSON_MOMENTFIT - Estimates the parameters of the zero mean and unit% variance distribution from the Pearson system using the third and% forth central moments (the method of moments).%% Input% alpha3 = sample 3rd moment% alpha4 = sample 4th moment% % Output% pearsonb = the distribution parameters vector [b0 b1 b2]%% Copyright (c) Helsinki University of Technology,% Signal Processing Laboratory,% Juha Karvanen, Jan Eriksson, and Visa Koivunen.%% For details see the files readme.txt% and gpl.txt provided within the same package.%% Last modified: 11.9.2000%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The estimates are given by the equations (13)--(15) in% Karvanen, J.,Eriksson, J., and Koivunen, V.:% "Pearson System Based Method for Blind Separation", % Proceedings of Second International Workshop on% Independent Component Analysis and Blind Signal Separation,% Helsinki 2000, pp. 585--590%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%denominator=10*alpha4-12*alpha3^2-18;b0=-(4*alpha4-3*alpha3^2)/denominator;b1=-alpha3*(alpha4+3)/denominator;b2=-(2*alpha4-3*alpha3^2-6)/denominator;pearsonb=[b0 b1 b2];% The end of the function %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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