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Inference on means using the bootstrap. (English) Zbl 0539.62043

Ann. Stat. 11, 999-1003 (1983).

For a linear combination of means of k (\(\geq 2)\) populations (based on independent samples), it is shown that the bootstrap approximation to the distribution of the Studentized estimator is better than that of the estimator itself. In this context, it is assumed that the underlying distribution has finite moments up to the 6th order, and there seems to be scope for weakening this stringent moment condition.

Reviewer: P.K.Sen

Cited in 31 Documents

MSC:

62G05	Nonparametric estimation
62G15	Nonparametric tolerance and confidence regions

Keywords:

Edgeworth expansion; linear combination of means; bootstrap approximation; Studentized estimator

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