9. Bootstrap Confidence Intervals

Topics, Class Notes and Code Assignments and Recommended Readings
  • Review of Cumulative Empirical Distribution Function
  • Boostrap Algorithm and Bootstrap Sampling distribution
    • Basic Bootstrap algorithm
    • Bootstrap sampling distribution of a statistic
    • Bootstrap estimation of distribution
  • Bootstrap Confidence Interval
    • Bootstrap normal confidence interval
    • BBootstrap percentile confidence interval
    • Bias corrected and accelerated Bootstrap confidence interval
    • Bootstrap t-confidence interval
  • Likelihood-based Bootstrap confidence interval
  • Notes and code
  • Optional Reading Assignments
    • Davidson and Hinkley's classic book: Bootstrap Methods and their Application published by Cambridge Univ. Press (1997)(You may want to find a PDF version of the book from internet or access it through WCU's library)
    • A usingful R Book: An introduction to bootstrap methods with applications to R, published by Wiley (2011). You access it through WCU's library.
  • Three Built-in R Functions
    • sample(), boot(), boot.ci()
  • Written Assignment
    • Guidelines [HTML]
    • Due:Tuesday, 3/31/2026 at 11:59 PM