Strong consistencies of the bootstrap moments (Q1187086)
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scientific article; zbMATH DE number 38604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong consistencies of the bootstrap moments |
scientific article; zbMATH DE number 38604 |
Statements
Strong consistencies of the bootstrap moments (English)
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28 June 1992
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The author proves a SLLN for the \(r\)-th sample moment of a bootstrap sample of size \(m(n)\to \infty\) generated from an i.i.d. sample of size \(n\). The typical sufficient condition is an \((r+\delta)\)-th moment for the underlying random variables, \(\delta > 0\). This generalizes work of \textit{K. B. Athreya} [Stat. Probab. Lett. 1. 147-150 (1983; Zbl 0518.62016)].
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bootstrap sample size
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convergence with probability 1
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strong law of large numbers
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SLLN
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sample moment
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0.91578317
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0.9001657
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0.8851564
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0.88371754
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0.8814003
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