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36-705 Intermediate Statistics, Fall 2017 - CMU Statistics

36-705

36-705 Intermediate Statistics, Fall 2017 - CMU Statistics

Course homepage: http://www.stat.cmu.edu/~siva/705/main.html

Review

My Review

Lecture Notes

  • Lecture 1: (8/28) A very brief review

  • Lecture 2: (8/30) Concentration inequalities

  • Lecture 3: (9/1) Concentration inequalities

  • Lecture 4: (9/6) Convergence

  • Lecture 5: (9/8) Convergence

  • Lecture 6: (9/11) Central limit theorem

  • Lecture 7: (9/13) Uniform laws and empirical process theory

  • Lecture 8: (9/15) Uniform laws and empirical process theory

  • Lecture 9: (9/18) VC dimension

  • Lecture 10: (9/20) Rademacher complexity

  • Lecture 11: (9/25) Sufficiency

  • Lecture 12: (9/27) Minimal Sufficiency and Rao-Blackwell

  • Lecture 13: (9/29) Exponential Families

  • Lecture 14: (10/2) Parametric Estimation

  • Lecture 15: (10/4) Fisher Information and Decision Theory

  • Lecture 16: (10/6) Decision Theory

  • Lecture 17: (10/9) Minimax and Consistency of MLE

  • Lecture 18: (10/11) Asymptotic Normality of MLE

  • Lecture 19: (10/13) Hypothesis Testing

  • Lecture 20: (10/16) More Hypothesis Testing

  • Lecture 21: (10/18) LRT and Permutation Cut-offs

  • Lecture 22: (10/23) Multiple Testing

  • Lecture 23: (10/25) FDR and Confidence Sets

  • Lecture 24: (10/29) Confidence Intervals

  • Lecture 25: (11/1) Confidence Intervals and Causal Inference

  • Lecture 26: (11/3) Causal Inference

  • Lecture 27: (11/6) Non-parametric Regression

  • Lecture 28: (11/8) High-dimensional Statistics

  • Lecture 29: (11/13) More High-dimensional Statistics

  • Lecture 30: (11/15) Bayesian Inference

  • Lecture 31: (11/17) MCMC

  • Lecture 32: (11/27) MCMC and Bootstrap

  • Lecture 33: (11/29) Bootstrap and Model Selection

  • Lecture 34: (12/1) Model Selection

  • Lecture 35: (12/4) Distances between Distributions