Comments for Neyman-Pearson: How Bayes Decision Rule Controls Error
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Shaobo Fang's Review
Possible a minor typo at first line: 魔钟-->某种? corrected.
What's Impressive:
This selecture is simply impressive. Author focused on Hypothesis testing, and introduced LRT, Bayesian Test and Neyman-Pearson (UMP: Uniformly Most Powerful).
Many concepts are accurately described in Chinese, which is amazing. Even if I have taken the STAT course, I did not know the corresponding Chinese name to e.g. LRT, so the author indeed helps me a lot when I read Chinese texts on this topic in the future.
At the very end of the text, author also introduced a very interesting example, which helps reader understand the concepts better.
What's Covered:
The author covered all important concepts in Hypothesis Testing in a great way. For the LRT test, I guess in order to be more accurate:
$ \lambda(X) = \frac{sup L(x|w_0)}{supL(x|w)} $
Although it is already great, it would be even better if author can also briefly explain Power Function and Size of LRT.
Tian's reply
Interesting topic. It's very surprising that the author can compose so great Chinese tutorial. The tutorial contains both theory and an application, which can really lead the reader to understand and gain a intuition on how it works.
Might be more interesting if talking a little about a changing k, basically ROC curves and how that could be further developed from this topic.
Author's reply
Typo corrected, thanks.
