TODOs

[TURX]

A rough draft of roadmap, feel free to edit:

• English version
• Random variables: Multivariable Gaussian, sub-Gaussian
• Concentration: Hoeffding, Azuma-Hoeffding, Bernstein
• Estimation
  • Method-of-moments (MoM) estimator, Maximum a Posteriori (MAP) estimator, Posterior Mean (PM) estimator
  • Fisher Information Matrix (with and without regularity, definition of regularity)
  • KL divergence
  • Rao-Blackwell Theorem (after Factorization Theorem)
  • Least Squares, Logistic Regression
• Inference
  • (Generalized) Likelihood Ratio Test, Neyman-Pearson Lemma, Uniformly Most Powerful Test, Wilks' Theorem (for asymptotic distribution of log GLRT statistic)
  • ANOVA: F-test, Bonferroni, Tukey
  • Mann-Whitney and Signed Rank Tests for Two Independent or Paired Samples

[leo-maxwell]

Those inference-related contents (Regression, etc.) were put into another project called Statistics Modeling and are yet to be uploaded. At that time ctexbook template was not used and the content was organized badly, so it was moved away. The re-merge is possible and planned. Theorems like Rao-Blackwell and Lehman-Scheffe will be added soon. Thank you for your time.

[leo-maxwell]

The Statistics_Modeling was uploaded just now. I hope you'll be able to find the inference-related content there.