Web Reference: An entry for the 2023 Summer of Math Exposition (#SoME3) on a magical tool in statistics: the bootstrap. ...more Bootstrapping estimates the properties of an estimand (such as its variance) by measuring those properties when sampling from an approximating distribution. One standard choice for an approximating distribution is the empirical distribution function of the observed data. Even if the statistic T of interest is motivated by a parametric model (for example, T = ^ is the MLE in this model), the nonparametric bootstrap may be used to estimate the standard error of T to guard against model misspeci cation.
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