Bootstrap

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Parameter Estimation

  • Bias estimation (continued)
  • Error rate estimation problems
  • Confidence intervals and hypothesis test
  • A 1-1 relationship between confidence intervals and hypothesis tests
  • Higher order bootstrap confidence intervals
  • Percentile method confidence intervals
  • Problems with bootstrap confidence intervals for variances 

Regression and Time Series

  • Linear Regression, bootstrap residuals or vectors
  • Bootstrap variants
  • Bayesian bootstrap
  • Iterate
  • d bootstrapParametric bootstrap
  • Smoothed bootstrap
  • Non-linear Regression
  • A Quasi-optical experiment
  • Nonparametric Regression 

Bootstrap Bagging

  • CART
  • Cox Model
  • Number of repetitions (replications)
  • Time Series Analysis
  • Model-based vs block resampling
  • Bootstrap Failures and Remedies
  • Bioequivalence
  • Failure Due to Estimating Extremes and Remedies
  • Failure Due to Infinite Moments and Remedy (introducing m-out-of-n bootstrap)
  • Failure Due to Small Sample Size
  • Process capability indices
  • p-value adjustment
  • Spatial data: kriging
  • Subset selection
  • Gong and Gunter