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Bootstrap Methods

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Introduction

Use of the bootstrap idea goes back at least to Simon (1969) who used it as a tool to teach statistics. But the properties of the bootstrap and its connection to the jackknife and other resampling methods, was not realized until Efron (1979). Similar resampling methods such as the jackknife and subsampling go back to the late 1940s and 1960s respectively (Quenouille (1949) for the jackknife and Hartigan (1969) and McCarthy (1969) for subsampling). In 1979 the impact that the bootstrap would have was not really appreciated and the motivation for Efron’s paper was to better understand the jackknife and its properties. But over the past 30 years it has had a major impact on both theoretical and applied statistics with the applications sometimes leading the theory and vice versa. The impact of Efron’s work has been so great that he was awarded with the President’s Medal of Science by former President George W. Bush and Kotz (1992) included the 1979 Annals of Statistics paper...

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Chernick, M.R., González-Manteiga, W., Crujeiras, R.M., Barrios, E.B. (2011). Bootstrap Methods. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_150

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