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Questions and Comments for: Expected Value of MLE estimate over standard deviation and expected deviation

A slecture by Zhenpeng Zhao


Please leave me comment below if you have any questions, if you notice any errors or if you would like to discuss a topic further.


Questions and Comments

Updated Review Shaobo Fang:

Now the format issue is gone and the slecture looks great!

The mathmatical derivation is clear, thorough and in details, which is extremely impressive.

To offer the readers a better technical background, the author first explained the general Maximum Likelihood Ratio test given 'c' classes.

After the general theorems were established, the author then attempted to investigate the mean of Gaussian R.V. with known $ \Sigma $. The case of maximum likelihood estimation examples for Gaussian R.V. both $ \mu $ and $ \sigma $ unknown was investigated and is truely interesting since in real world even if the data come in with Gaussian distribution the parameter is probably still unknown. Biasness of an estimator was also briefly investigaed at the very end.


Could have been improved: It would be better for the reader if more context would be there to provide better transition regarding different parts.



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