4. ECDF Revisited and Bootstrap Sampling with Applications

Topics, Class Notes and Code Assignments and Recommended Readings
  • Empirical Cumulative Distribution Function Revisited
    • Algorithmic-based definition
  • Bootstrap Sampling Method
    • Parametric Bootstrap Sampling
    • Non-parametric Parametric Bootstrap Sampling
    • Algorithms and Implementation
  • Bootstrap Applications
    • Bootstap Estimation of Sampling Distribution
    • Comparison between asymptotic and Bootstrap Sampling Distribution
  • Notes and Code
    • Notes of ECDF and Bootstrapping [HTML]
  • Other Resampling Methods
    • Variant of Bootstrap sampling Mmethods
      • Smoothed bootstraping from kernel $\hat{F}_n$
      • Block bootstrapping for dependent data
      • Balanced bootstrapping for variance reduction
  • Jacknife Methods
    • Delete-1 Jacknife
    • Delete-d Jacknife
    • Stratified Jacknife
  • Written Assignment: Guidelines[link]
  • Due:Tuesday, 02/17/2026 at 11:30 PM