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Gaussian vs Uniform Distribution in MATLAB

 

MATLAB Code

clc;

clear all;

close all;


% Number of samples to generate

n = 100000;


% Generate Uniform distribution between 0 and 1

r = rand(1, n);  % rand generates numbers in the range [0, 1]


% Transform to the range [-1, 1]

a = -1;

b = 1;

uniform_values = a + (b - a) * r;


% Plot the histogram of the generated uniform distribution

figure;

histogram(uniform_values, 30, 'Normalization', 'pdf');  % Normalized to show probability density

title('Uniform Distribution between -1 and 1');

xlabel('Value');

ylabel('Probability Density');


% Generate Gaussian distribution (Standard Normal Distribution)

gaussian_values = randn(1, n);  % Standard normal distribution (mean = 0, std = 1)


% Plotting the Gaussian distribution

figure;

histogram(gaussian_values, 30, 'Normalization', 'pdf');  % Normalized to show probability density

title('Gaussian Distribution (Standard Normal)');

xlabel('Value');

ylabel('Probability Density');


Output






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