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2
votes
Testing goodness of fit for a Zipf distribution (in Matlab)
.
% Define the Zipf distribution
N = 100;
alpha = 1; % Shape parameter, 1.5 is apparently a good all-round value to start with
x = 1:N-1;
y_exp = 1./(x. … ^alpha); % A correct Zipf distribution
% Create a noisy signal
rng(42)
noise = normrnd(0, 0.01, [1, N-1]);
y_obs = y_exp + noise;
% Plot our empirical frequency distribution alongside the Zipf distribution …