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Efron (1979): B resamples with replacement, the statistic on each. The replicates estimate the statistic's law under the EMPIRICAL distribution, not under F – and where that fails it fails without warning, the sample maximum being the canonical case (its bootstrap law puts mass 0.632 on the sample max itself). The caveat is in the output.

Usage

morie_bt_iid(x, stat, B = 1000L, seed = 0)

Arguments

x

sample.

stat

the statistic, applied to a resample.

B

replicates.

seed

resampling seed.

Value

list: replicates, estimate, se, bias, ci_percentile, B, n, consistency_caveat, method.

References

Efron (1979), Annals of Statistics 7:1-26.

Examples

set.seed(1)
morie_bt_iid(stats::rnorm(50), mean, B = 100)$se
#> [1] 0.1178038