Arbeitspapier

A note on bootstraps and robustness

In this note we consider several versions of the bootstrap and argue that it is helpful in explaining and thinking about such procedures to use an explicit representation of the random resampling process. To illustrate the point we give such explicit representations and use them to produce some results about bootstrapping linear models that are, apparently, not widely known. Among these are a demonstration of the equivalence, to order n-1 of the covariance matrix of the bootstrap distribution of the least squares estimator and the Eicker(1967)/White(1980) heteroscedasticity robust covariance matrix estimate. And we examine the precise relations between an Efron(1979) bootstrap procedure and the Bayesian bootstrap of Rubin(1981) and show that their covariance matrices are identical to O(1/n).

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP04/06

Classification
Wirtschaft
Subject
Robustes Verfahren
Theorie
Bootstrap-Verfahren

Event
Geistige Schöpfung
(who)
Lancaster, Tony
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2006

DOI
doi:10.1920/wp.cem.2006.0406
Handle
Last update
10.03.2025, 11:45 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Lancaster, Tony
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2006

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