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The bootstrap is a resampling method to estimate the sampling distribution of a statistic.
6
votes
Accepted
Bootstrapped confidence intervals: different values at every computation?
Technically, a Bootstrap procedure should consider all of the possible bootstrap samples. If this can be accomplished, then the Bootstrap confidence interval will be the same for every run. … To account for this, we usually randomly choose $M$ of the possible $n^n$ bootstrap samples. …
6
votes
Accepted
Why does the `boot` R package require the `i` argument? When does it make the package easier...
I generally agree with you that it's more of an annoyance than anything, but here's a simple example:
Think about how you would do bootstrap for something like correlation between two vectors. …
17
votes
Accepted
Calculate accelerated bootstrap interval in R
Obtain the Bootstrap distribution
The Bootstrap algorithm is fairly straightforward to code up on your own. … (Side note: when $a=0$, the accelerated Bootstrap is known as the bias correction Bootstrap). …
5
votes
Bootstrap for goodness of fit
(A proper bootstrap using the data doesn't really make sense in this setting, since the null hypothesis fully specifies the distribution). This MC approach can be performed in R as follows. …
5
votes
Can the jackknife be used for asymmetric confidence intervals?
Can the jackknife be used to estimate the sample statistic distribution directly a la the bootstrap? … The bootstrap has similar problems, but is far more reliable in most cases.
A case study. …