bootstrap sample median


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PDF Lecture 5: Bootstrap 51 Empirical Bootstrap

We start with a simple example: what is the error of sample median? Like sample mean is an estimate of the mean of population the sample median is an estimate 

  • What is a good sample size for bootstrapping?

    As you have pointed out, there are some guidelines: Efron and Tibshirani's rule of thumb is that the bootstrap tends to work well when the sample size is at least 30, Wu (1986) recommend a sample size of at least 50 to 60 for estimating standard errors.

  • Bootstrapping is any test or metric that uses random sampling with replacement (e.g. mimicking the sampling process), and falls under the broader class of resampling methods.

  • Can bootstrapping be used for medians?

    The idea behind bootstrapping for the medians of two independent samples is quite straightforward. bootstrap each sample separately, creating the sampling distribution for each median.18 oct. 2015

  • Where is bootstrap sample centered?

    The bootstrap distribution is centered at the observed statistic, not the population parameter, for example, at x ‾ , not μ.
    This has two profound implications.
    First, it means that we do not use the mean of the bootstrap statistics as a replacement for the original estimate.

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