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).

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 2006-06

Klassifikation
Wirtschaft
Thema
Robustes Verfahren
Theorie
Bootstrap-Verfahren

Ereignis
Geistige Schöpfung
(wer)
Lancaster, Tony
Ereignis
Veröffentlichung
(wer)
Brown University, Department of Economics
(wo)
Providence, RI
(wann)
2003

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Lancaster, Tony
  • Brown University, Department of Economics

Entstanden

  • 2003

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