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Just a note

If you prefer to think in terms of frequency distributions, we can express this another way:
  • The cumulative distribution of samples of observations each provides an estimate of the (parametric) cumulative distribution of the population those samples represent.
  • Similarly, the cumulative distribution of a bootstrap-sample provides an estimate of the cumulative distribution of the sample it is taken from.

Notice however, because the sampling process looses information, the cumulative distribution function of a sample cannot contain all the details of the parametric distribution - in other words the sampling process produces a simplified and distorted image of the original. Resampling a sample yields a more simplified and distorted picture.

Provided the resampling process faithfully mimics the sampling process, the alterations introduced by resampling provide an estimate of those introduced by the original sampling process.