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Why do you need block bootstrap for time series?

hard

Answer

  • Standard bootstrap resamples individual points, destroying temporal dependence and grossly under-estimating variance for autocorrelated data.
  • Block bootstrap resamples contiguous blocks (moving or stationary) to preserve short-range dependence.
  • Block length L chosen so autocorrelation dies within L (rule  of  thumb  n(1/3))(\mathrm{rule}\;\mathrm{of}\;\mathrm{thumb}\;n(1 / 3)).
  • Foundational for CIs in time-series metrics, hedge-fund performance, drift detection.
Check yourself — multiple choice
  • Same as regular
  • Standard bootstrap destroys temporal correlation → understates variance; block bootstrap resamples contiguous blocks (length    n(1/3))(\mathrm{length}\; \sim \;n(1 / 3)) preserving short-range dependence
  • Only for regression
  • Not needed

Block bootstrap: preserves temporal correlation via contiguous blocks.

#bootstrap#confidence-interval

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