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Necessary and sufficient conditions for the multivariate bootstrap of the mean

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  • Sepanski, Steven J.

Abstract

We give necessary and sufficient conditions for the bootstrap central limit theorem (CLT) for valued random vectors to hold both almost surely and in probability. We allow the bootstrap sample mean to be normalized using affine transformations. We show that for the bootstrap CLT to hold almost surely, it is necessary and sufficient that E || X ||2

Suggested Citation

  • Sepanski, Steven J., 1994. "Necessary and sufficient conditions for the multivariate bootstrap of the mean," Statistics & Probability Letters, Elsevier, vol. 19(3), pages 205-216, February.
    • Handle: RePEc:eee:stapro:v:19:y:1994:i:3:p:205-216
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    Cited by:

    1. Sepanski, Steven J., 1996. "Asymptotics for multivariate t-statistic for random vectors in the generalized domain of attraction of the multivariate normal law," Statistics & Probability Letters, Elsevier, vol. 30(2), pages 179-188, October.

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