Verification of central limit theorem
AIM: Simulating the Central Limit Theorem with the Uniform Distribution in MATLAB.
OBJECTIVE: To verify Central limit theorem using MATLA
PC with windows (95/98/XP/NT/2007).
uniform_RVs = ; sample_averages = ; random_draw = ; for i = 1:500 for j = 1:100 random_draw = [random_draw 1+rand]; end sample_averages = [sample_averages mean(random_draw)]; uniform_RVs = [uniform_RVs random_draw]; random_draw = ; end figure(1) hist(uniform_RVs, 25) xlabel('Observation') ylabel('Frequency') figure(2) hist(sample_averages, 25) xlabel('Observation') ylabel('Frequency') sample_mean = mean(sample_averages) sample_var = var(sample_averages)
CONCLUSION: Thus Cental limit theorem is verified using MATLAB
OUTCOME: The Student must be able to understand how to verify Central limit theorem using MATLAB
? Define Central limit Theorem?
? List the applications of Central limit Theorem?
UpdatedMar 03, 2020
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