Non-parametric Methods

  1. Advanced Topics and Extensions
    1. Asymptotic Theory
      1. Asymptotic Relative Efficiency
        1. Pitman Efficiency
          1. Bahadur Efficiency
          2. Large Sample Properties
            1. Consistency
              1. Asymptotic Normality
              2. Contiguity Theory
                1. Local Alternatives
                  1. Power Analysis
                2. Robust Statistics Connection
                  1. M-estimators
                    1. Breakdown Point
                      1. Influence Functions
                      2. Modern Developments
                        1. High-Dimensional Methods
                          1. Sparse Methods
                            1. Regularization
                            2. Machine Learning Connections
                              1. Tree-Based Methods
                                1. Ensemble Methods
                                2. Bayesian Non-parametrics
                                  1. Dirichlet Processes
                                    1. Gaussian Processes

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                                11. Practical Implementation

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                                1. Introduction to Non-parametric Statistics