Line 21: Line 21:
 
     hold on;
 
     hold on;
 
     plot(num_samples, sigmahat);
 
     plot(num_samples, sigmahat);
 +
 +
 +
--[[User:Han84|Han84]] 22:49, 2 April 2010 (UTC)
  
 
Need real database? Look it up in this website:
 
Need real database? Look it up in this website:
 +
 
http://archive.ics.uci.edu/ml/datasets.html
 
http://archive.ics.uci.edu/ml/datasets.html
 +
 
have fun!
 
have fun!
Golsa
 
  
 
+
Golsa
--[[User:Han84|Han84]] 22:49, 2 April 2010 (UTC)
+

Revision as of 08:34, 4 April 2010

MATLAB has a "mle" function for maximum likelihood estimation. I think that this function is useful to verify the result of hw2 if you have MATLAB. I try to find the effect of the sample size in MLE using "mle" function because the number of samples is critical for estimation. To do this, I generate samples from normal distribution with mean as 0 and std as 5. The below graph shows the results of MLE according to the number of samples.

Mle samples.jpg

The code for this graph is like below.

   samples_step = 3;
   num_samples = samples_step:samples_step:10000;
   len = length(num_samples);
   mu = 0;
   sigma = 5;
   muhat = zeros(1, len);
   sigmahat = zeros(1, len);
   for x = num_samples
       data = mu + sigma * randn(1, x);
       phat = mle(data(1, :));
       muhat(1, x/samples_step) = phat(1);
       sigmahat(1, x/samples_step) = phat(2);
   end
   plot(num_samples, muhat);
   hold on;
   plot(num_samples, sigmahat);


--Han84 22:49, 2 April 2010 (UTC)

Need real database? Look it up in this website:

http://archive.ics.uci.edu/ml/datasets.html

have fun!

Golsa

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett