Question

MATLAB. Using Matlab, simulate 20 independent observations on X, where X~unif[-1,1], X be a standard Cauchy, and X is gamma distributed, respectively.

Answer 1

MATLAB code

close all
clear
clc

rng('default') % For Reproducibility

% Uniform Distribution
x_unif = random('Uniform',-1,1,1,20); % Interval [-1 1] and 1x20 => 20 samples
disp('Uniform Distribution');
disp(x_unif);

% Gamma Distribution
x_gamma = random('Gamma',10,5,1,20); % Parameters a = 10 & b = 5
disp('Gamma Distribution');
disp(x_gamma);

% Standard Cauchy Distribution
x_cauchy = trnd(1,1,20);
disp('Standard Cauchy Distribution');
disp(x_cauchy);

output